LIST OF
PUBLICATIONS
E-PRINTS
ANNUAL
REPORTS
1. Manoff S., Ueberlagerung
der Schwarzschildschen Metriken von zwei Teilchen mit der gleich-maessig
beschleunigten Metrik. Wiss. Zeitschrift der
Friedrich- Schiller Univ. Jena, Math.-Nat. Reihe, 21 Jg.
(1972), Heft 1, 55-61
2. Manoff S., Untersuchung
der Leistungsfaehigkeit der verschiedenen Methoden bei der Problematik der
Energie-Impuls-Erhaltung in der Einsteinschen Gravitationstheorie. Dissertation (PHD Thesis). Friedrich-Schiller Universitaet Jena. Jena 1973,
1-108, (unpubl.)
3. Manoff S.,
Nedjalkov I., Popov J., On the motion of a test body in an external
gravitational field. I. The deviation equation in the Schwarzschild's metric
for one observer moving with a fixed point of the test body. Annuaire d. Ecol. Sup. Phys. Techn., 12 (1975) 1.2., 95-102 (in Bulg.)
4. Manoff S., About
the motion of two test particles in an external gravitational field. Proc. of the All-union Conference "Recent theoretical
and experimental problems of the general relativity and gravitation".
Minsk 1976, 123-126 (in Russian)
5. Manoff S., About
the Motion of Test Particles in an External Gravitational Field. Exp. Technik d. Physik 24 (1976) 5,
425-431 (in German)
6. Manoff S., Integrale
Erhaltungssätze fur isolierte Systeme nach der Methode der bevorzugten
Vektorfelder in der Allgemeinen Relativitaetstheorie und die äußere
Kerr-Metrik. Acta Physica Austriaca,
48 (1977), 41-50
7. Manoff S., Kaleva
St., On the Differential Conservation Laws in Metric,Tetrad and Bimetric
Formulations of the General Relativity. Bulg.
J. Phys. 4 (1977) 3, 223-235 (in Russian)
8. Manoff S., Applications
of Lie derivatives to deviation equations in Riemannian spaces. 8th Intern. Conf. on General Relativity and Gravitation.
Waterloo, Ontario, Canada, (1977), 241
9. Manoff S., Nedjalkov I., Nikolov O., On an inverse problem of the relativistic dynamics of a material point in post-Newtonian approximation. Comptes rendus de l'Academie bulg. d. Sciences, 31 (1978) 4, 405-408
10. Manoff S., Nedjalkov I., Nikolov O., On an inverse problem of the relativistic dynamics of a material point in post-Newtonian approximation. Ann. d. Ecol. Sup. Phys. Techn., (1977) 1.2., 69-78
11. Manoff S., Nedjalkov I., Nikolov O., On an inverse problem of the relativistic dynamics of a material point in post-Newtonian approximation. IV Natl. Conf. J. Phys., Sofia 1978, 119-120 (in Bulg.)
12. Manoff S., Deviation
equations in Riemannian spaces. IV. Natl.
Conf.J.Phys., Sofia 1978, 25-26 (in Bulg.)
13. Manoff S., The
Deviation Equations and Lie Derivatives in Riemannian Spaces. Comm. JINR P2-12026, Dubna, 1978, 1-23 (in
Russian)
14. Manoff S., Lie
Derivatives and Deviation Equations in Riemannian Spaces. Gen. Rel. and Grav., 11 (1979), 189-204
15. Manoff S., Equations
for the gravitational field and local conserved quantities in the general
theory of relativity. Preprint IC/79/68,
ICTP - Italy 1979, 1-40
16. Manoff S., Problems
of the gravitational energy and momentum in the general relativity. In "Physics and energy". Bulg. Acad.
Sci., Sofia 1980, 491-499 (in Bulg.)
17. Manoff S., Gravitational
equations in Riemannian spaces with non-zero energy-momentum tensor of the
gravitational field. Robertson-Walker's type solution for perfect fluid. Abstr. Contr. Papers. 9th Intern. Conf. Gen. Rel. and Grav.
14 - 19.07.1980. FSU Jena, DDR, Vol. 2, 495-496
18. Manoff S., The
general theory of relativity and the energy -momentum problems in the theory of
gravitation. In "Einstein and his
contribution to the science". Nauka i iskustwo, Sofia 1981,
52-75 (in Bulg.)
19. Manoff S., On
a hypothesis of a non-standard relation between the inertial and gravitational
passive and active masses. 5th Sov. Grav. Conf.,
MGU, Moscow 1981, 29 (in Russian)
20. Iliev B., Manoff S.,
Deviation equations in U -spaces. 5th Sov.
Grav. Conf., MGU, Moscow 1981, 122 (in Russian)
21. Manoff S.,
Local conserved quantities and equations for the gravitational field in the
general theory of relativity. Proc. Second
Marcel Grossman Meeting on (the Recent Developments of) General Relativity.
North-Holland Publ. Co., 1982, 641- 646,
22. Manoff S., Kolev
G., Deviation equations of geodesics in Riemannian spaces with
Robertson-Walker metric. Proc. of VNVU
"Vasil Levski", 12
(1982), 122-130 (in Bulg.)
23. Manoff S., Equations
with non-zero energy-momentum tensor of the gravitational field. 1th Natl. Congress Phys. Bulg. 28.09.-01.10.1983.
Abstr. Contr. Papers. Sofia 1983, 14 (in Bulg.)
24. Manoff S., Gravitational
equations in Riemannian spaces with non-zero energy-momentum tensor of the
gravitational field. Equations of the electro-magnetic field. 10th Intern. Conf. on General Relativity and Gravitation
- Padova 4-9. July 1983. Contr. Papers. Consiglio Nazionale Delle Ricerche -
Roma, 1983, Vol.1, 567
25. Iliev B., Manoff S.,
Deviation equations in spaces with affine connection. Comm. JINR P2-83-897. Dubna 1983, 1-14 (in
Russian)
26. Manoff S., Deviation
operator in spaces with affine connection. 6th
Sov. Grav. Conf., Moscow 1984,UDN, 231-232 (in Russian)
27. Manoff S., Invariant projections of the Riemann tensor and the Ricci tensor on a non-isotropic vector field in Riemannian
spaces and the deviation
equations. 6th Sov. Grav. Conf., Moscow 1984, UDN, 229-230 (in Russian)
28. Manoff S., Relative acceleration, shear, rotation and expansion acceleration in
(pseudo) Riemannian spaces with and without torsion. In "Gravitational waves". JINR P2-85-667, Dubna 1985, 157-168 (in Russian)
29. Manoff S., Deviation operator and its applications in
gravitational theories. 11th Intern. Conf. on General Relativity and Gravitation
- Stockholm 6- 12 July 1986. Contr. Papers. Stockholm 1986
30. Manoff S., Covariant, relative and Fermi-Walker transport in Un -spaces. Deviation equations in the case of
covariant and Fermi-Walker
transport. In "Theoretical and High Energy Physics".
In Honour of the 70th Anniversary of Acad. Christo Christov. BAN, Sofia 1988,
137-144 (in Bulg.)
31. Manoff S., On the energy-momentum tensor for theories in (pseudo) Riemannian spaces with torsion. Comm. JINR E2-87-679, Dubna 1987, 1-16
32. Manoff S., Relativistic kinematics of the relative
motion. In "Proc. of the
Workshop on development and
building a generator and detector
for gravitational waves".
JINR D4-89-221, Dubna 1989,
42- 54
33. Manoff S., On the notion mass density in
classical field theories. 5th Intern.
Symposium "Philosophy,
Physics, Cosmos". Kardjali 09.-12.05.1989. Contr. Papers. BAS,
Sofia 1989, 89-92
34. Manoff S., Shear, rotation and expansion
acceleration in General
Relativity. 12th Intern. Conf. on
General Relativity and Gravitation. Colorado of
Boulder, USA, 1989. Univ. Colorado, Colorado 1989, Vol 1., (A1:48), 95
35. Manoff S., On
the symmetric
energy-momentum tensor for theories in spaces with
affine connection and metric. 12th Intern. Conf. on General Relativity and
Gravitation. Colorado of
Boulder, USA, 1989. Univ. Colorado, Colorado 1989, Vol 1., (A3:35), 178
36. Manoff S., On the notion energy-momentum tensor for field theories in spaces with affine connection and metric. 2.
Intern. Congress "Cosmos and Phylosophy" 15.-18.05.1990.
Kardjali. BAS, Sofia 1990, 107-110
37. Manoff S., Invariant projections of
energy-momentum tensors for field theories in spaces with affine connection and
metric. J. Math. Phys. 32 (1991) 3, 728-734 (Current Physics Microform No. 9103 A 0160)
(Physics Briefs (Physikalische Berichte) 13 (1991) 8, 3081, No.33309)
38. Manoff S., On
the energy-momentum tensors for field theories in spaces with affine connection
and metric. Generalized Bianchi Identities and Different Energy-Momentum
Tensors. Comm. JINR Dubna, E2-91-77,
Dubna 1991, 1-16
39. Manoff S.,
On the energy-momentum tensors for field theories in spaces with affine
connection and metric.Conditions for Existence of Energy-Momentum Tensors. Comm. JINR Dubna, E2-91-78, Dubna 1991,
1-15
40. Manoff S., On
the notion of angular momentum for field theories in spaces with affine
connection and metric. In "Gravitational
energy and gravitational waves". JINR Dubna 1991, P2-91-164,
79-89 (in russ.)
41. Manoff S.,
On the energy-momentum tensors for field theories in spaces with affine
connection and metric. Proc. 9th Italian Conf.
on General Relativity and Gravitational Physics, Capri (Napoli),
25.-28.09.1990. Eds. R. Cianci, R. de Ritis, M. Francaviglia, G. Marmo, C.
Rubano, and P. Scudellaro. World Scientific Publ. Co., Singapore 1991, 476-480
42. Manoff S.,
Deviation equations of Synge and Schild in spaces with affine connection and
metric, and equations for gravitational wave detectors. Comm. JINR Dubna , E2-92-19, Dubna 1992,
1-12
43. Manoff S.,
Kinematics of the relative motion in the modern gravitational theories. 13th Intern. Conf. on General Relativity and Gravitation,
Huerta Grande, Cordoba, Argentina, 28.06.-04.07.1992. Contr. Papers.
44. Manoff S.,
Wesson's solution of Einstein's field equations with p = m ( as a special case
of Gutman's and Bespal'ko's solution. 13th
Intern. Conf. on General Relativity and Gravitation,Huerta
Grande, Cordoba, Argentina, 28.06.-04.07.1992. Contr. Papers.
45. Manoff S.,
Dynamics of the covariant metric tensor field in spaces over manifolds with
affine connection and metric. Covariant Euler-Lagrange equations and
energy-momentum tensors. In "Gravitational
energy and gravitational waves". JINR Dubna P2- 92-559,
Dubna 1993, 51-68 (in Russian)
46. Manoff S.,
Geodesic deviation equation and relative accelerations induced by the
curvature. 14th Intern. Conf. on General
Relativity and Gravitation. Florence, Italy, August 6-12, 1995.
Contributed Papers. Workshop A1.
47. Manoff S.,
Relative accelerations in spaces with affine connections and metric. 14th Intern. Conf. on General Relativity and Gravitation.
Florence, Italy, August 6-12, 1995. Contributed Papers. Workshop A4
48. Manoff S.,
Kinematics of vector fields. In "Complex
Structures and Vector Fields". World Sci. Publ., Singapore,
1995, 61-113
49. Manoff S.,
Geodesic and autoparallel equations over differentiable manifolds. Intern. J. Modern Phys. A 11 (1996) 21, 3849-3874
50. Manoff S.,
Fermi-Walker transports over spaces with affine connections and metrics. JINR Rapid Communications 1[81]
(1997), 5-12
51. Manoff S.,
Lagrangian formalism for tensor fields. In
"Topics in Complex Analysis, Differential Geometry and Mathematical
Physics". World Sci. Publ., Singapore, 1997, 177-218
52. Manoff S.,
Einstein's theory of gravitation as a Lagrangian theory for tensor fields. Intern. J. Modern Phys. A 13 (1998) 12, 1941-1967
53. Manoff S.,
Fermi Derivative and Fermi-Walker transports over (Ln,g) spaces. Class. and Quantum Grav. 15 (1998),
465-477
54. Manoff S.,
Fermi Derivative and Fermi-Walker transports over (Ln'-,g) spaces. Intern. J. Modern Phys.
A 13 (1998) 25, 4289-4307
55. Manoff S.,
Dimitrov B., (Ln', g)-spaces. Special tensor fields. Comm. JINR Dubna , E5-98-182, Dubna 1998,
1-22
56. Manoff S.,
Dimitrov B., (Ln', g)-spaces. Ordinary and tensor differentials. Comm. JINR Dubna , E5-98-183, Dubna 1998,
1-27
57. Manoff S.,
Kolarov A., Dimitrov B., (Ln', g)-spaces. General relativity over V'4 - spaces.
Comm. JINR Dubna , E5-98-184,
Dubna 1998, 1-22
58. Manoff S.,
Dimitrov B., (Ln' g)-spaces. Variation operator. Preprint. JINR Dubna 1998
59. Manoff S.,
Lagrangian theory of tensor fields over spaces with contravariant and covariant
affine connections and metrics and its application to Einstein's theory of
gravitation in Vn'-spaces. Acta Applicandae
Mathematicae 55 (1999) 1, 51-125
60. Manoff S.,
Spaces with contravariant and covariant affine connections and metrics. Physics of elementary particles and atomic nucleus
(Particles and Nuclei) (Russ. Ed. Ý×Àß) 30 (1999) 5, 1211-1269
[Engl. Ed. 30 (1999) 5, 527-549]
61. Manoff S.,
Lazov R., Invariant projections and covariant divergency of the energy-momentum
tensors. In "Aspects of Complex
Analysis, Differential Geometry and Mathematical Physics".
World Sci. Publ., Singapore, 1999, pp. 289-314
62. Manoff S.,
Conformal derivative and conformal transports over (Ln',g)-spaces. Intern. J. Modern Phys.
A 15 (2000) 5, 679-695
63. Manoff S.,
Mechanics of tensor fields over spaces with contravariant and covariant affine
connections and metrics. Dissertation (Dr Sc
Thesis). Institute for Nuclear Research and Nuclear Energy, 1998,
1-673 (in Bulg.) (unpubl.)
64. Manoff S., Auto-parallel
equation as Euler-Lagrange's equation in spaces with affine connections and
metrics. Gen. Rel. and Grav. 32 (2000) 8, 1559 - 1582. E-print gr-qc
/ 0010 048
65. Manoff S., Conformal derivative and conformal
transports over (Ln~,g)-spaces. Intern.
J. Mod. Phys. A 15 (2000)
5, 679-695. E-print gr-qc / 00 11 007
66. Manoff S., Conformal derivative and conformal
transports over (Ln,g)-spaces. Intern.
J. Theor. Phys., Nonlinear Optics, and Group Theory. E-print
gr-qc / 99 07 095
67. Manoff S., Deviation equations of Synge and Schild over
(Ln~,g)-spaces. Intern J. Mod.
Phys. A 16
(2001) 6, 1109-1122. E-print
gr-qc / 00 12 015
68. Manoff S., Frames of reference in spaces with affine
connections and metrics. Class. Quantum Grav.
18 (2001) 6, 1111-1126. E-print gr-qc
/ 99 08 061
69. Manoff S., Deviation operator and deviation equations
over spaces with affine connections and metrics. Journal
of Geometry and Physics (2001)
ANNUAL
REPORTS
70. Manoff S.,
Tangent space and co-tangent space with different (not only by sign) affine
connections. Annual Report 1993. Institute for Nuclear Research and Nuclear
Energy, BAS, Sofia 1994
71. Manoff S.,
Kinematics of vector fields over (Ln',g)-spaces. Annual Report 1994. Institute
for Nuclear Research and Nuclear Energy, BAS, Sofia 1995
72. Manoff S.,
Relative accelerations and gravitational waves detectors in (Ln,g)-spaces.
Annual Report 1994. Institute for Nuclear Research and Nuclear Energy, BAS,
Sofia 1995
73. Manoff S.,
Relative acceleration induced by the curvature in Vn--spaces. Annual Report
1994. Institute for Nuclear Research and Nuclear Energy, BAS, Sofia 1995
74. Manoff S.,
Project "Mechanics of tensor fields over (Ln',g)-spaces. Main ideas and
subjects. Annual Report 1995. Institute for Nuclear Research and Nuclear
Energy, BAS, Sofia 1996, 29-30
75. Manoff S.,
Mechanics of tensor fields over (Ln',g)-spaces. I. Differentiable manifolds
with contravariant and covariant affine connections and metric [(Ln,g)-spaces].
Annual Report 1995. Institute for Nuclear Research and Nuclear Energy, BAS,
Sofia 1996, 33-32
76. Manoff S.,
Mechanics of tensor fields over (Ln',g)-spaces. II. Geodesic and autoparallel
equations over (Ln',g)-spaces. Annual Report 1995. Institute for Nuclear
Research and Nuclear Energy, BAS, Sofia 1996, 31, 34
77. Manoff S.,
Mechanics of tensor fields over (Ln',g)-spaces. III. Deviation equations of
Synge and Schild over (Ln',g)-spaces. Annual Report 1995. Institute for Nuclear
Research and Nuclear Energy, BAS, Sofia 1996, 35-36
78. Manoff S.,
Mechanics of tensor fields over (Ln',g)-spaces. IV. Tensor densities (Relative
tensor fields) over (Ln,g)-spaces. Form-invariant covariant differential
operators for tensor densities. Annual Report 1995. Institute for Nuclear
Research and Nuclear Energy, BAS, Sofia 1996, 37-38
79. Manoff S.,
Mechanics of tensor fields over (Ln',g)-spaces. V. Form-invariant Lie
differential operators for tensor densities. Annual Report 1995. Institute for
Nuclear Research and Nuclear Energy, BAS, Sofia 1996, 39-40
80. Manoff S.,
Mechanics of tensor fields over (Ln',g)-spaces. VI. Variational operator over
(Ln',g)-spaces. Annual Report 1995. Institute for Nuclear Research and Nuclear
Energy, BAS, Sofia 1996, 41-42
81. Manoff S.,
Mechanics of tensor fields over (Ln',g)-spaces. Lagrangian formalism for tensor
fields. Lagrangian density. Annual Report 1996. Institute for Nuclear Research
and Nuclear Energy, BAS, Sofia 1996
82. Manoff S.,
Mechanics of tensor fields over (Ln',g)-spaces. Method of Lagrangians with
partial derivatives (MLPD). Method of Lagrangians with covariant derivatives
(MLCD). Annual Report 1996. Institute for Nuclear Research and Nuclear Energy,
BAS, Sofia 1996
83. Manoff S.,
Mechanics of tensor fields over (Ln',g)-spaces. Fermi derivative and
Fermi-Walker transports over (Ln',g)-spaces. Annual Report 1996. Institute for
Nuclear Research and Nuclear Energy, BAS, Sofia 1996
84. Manoff S.,
Mechanics of tensor fields over (Ln',g)-spaces. (Pseudo) Riemannian spaces with
two different affine connections. Annual Report 1996. Institute for Nuclear
Research and Nuclear Energy, BAS, Sofia 1996
85. Manoff S.,
Mechanics of tensor fields over (Ln',g)-spaces. General relativity in (Vn -
spaces. Annual Report 1996. Institute for Nuclear Research and Nuclear Energy,
BAS, Sofia 1996
86. Manoff S.,
Mechanics of tensor fields over (Ln',g)-spaces. Einstein's theory of
gravitation as a Lagrangian theory for tensor fields. Annual Report 1996.
Institute for Nuclear Research and Nuclear Energy, BAS, Sofia 1996
87. Manoff S., Accelerated frames of reference in spaces with affine connections and
metrics. Annual Report 1999. Institute for Nuclear Research and Nuclear Energy, BAS, Sofia 2000
88. Manoff S., Covariant representation of Newton’s gravitational law in spaces with affine connections and metrics. Annual Report 1999. Institute for Nuclear Research and Nuclear Energy, BAS, Sofia 2000
E-PRINTS
89. Manoff S.,
Lazov R., Projections and covariant derivative of the energy-momentum tensors. E-print gr-qc/ 99 07 085, pp. 1-30
90. Manoff S., (Ln',g)-spaces. Length of a vector and
angle between two vectors. E-print gr-qc/
00 02 073, pp. 1-11
91. Manoff S., Relative
velocity and relative acceleration induced by the torsion in (Ln,g)
and Um-spaces. E-print gr-qc / 00 05 027
92. Manoff S., Dimitrov B., Weyl's
spaces with shear-free and expansion-free conformal Killing vectors and the
motion of a free spinless test particle. E-print
gr-qc / 00 11 045
93. Manoff S., Dimitrov B., On the existence of a gyroscope in
spaces with affine connections and metrics. E-print
gr-qc / 00 12 011