Programme of the

9-th International Workshop on

Complex Structures, Integrability and Vector Fields

Sofia, August 25-29, 2008

Loca Organizers:

Institut for Nuclear Research and Nuclear Energy
Institute of Mathematics and Informatics
Bulgarian Academy of Sciences




8:30 – 9:00 REGISTRATION

9:00 – 9:20 OPENING

Chairman S. Dimiev - Complex Structures and Differential Operators

9:20 – 10:00 K. Sekigawa Tangent sphere bundles of constant radii

10.00-10.40 P. Popivanov Hypoellipticity, solvability, subellipticity and solutions with stationary singularities of pseudodifferential operators with symplectic characteristics

10:40 – 11:00 Coffee break

11:00 -11:40 H. Hashimoto Deformations of almost complex structures of hypersurfaces of purely imaginary octonions

11:40 -12:20 T. Adachi A discrete model of K¨ahler magnetic fields on a complex space form

12:20 -13:00 H. Matsuzoe Some generalizations of statistical manifolds

Chairman: K. Sekigawa Complex and Algebraic Structures

15:00 -15:40 I. P. Ramadanoff Monogenic, hypermonogenic and holomorphic Cliffordian functions

15:40 -16:20 J. Lee, J. H. Park, K. Sekigawa Four-dimensional TV Bochner flat almost Hermitian manifolds

16:20 -16:40 Coffee break

16:40 -17:20 Y. Christodoulides Herglotz functions and spectral theory

17:20 -18:00 S. Maeda A characterization of Clifford minimal hypersurfaces in terms of their geodesics

18:00 -18:40 M. J. Hristov Some geometric properties and objects related to B´ezier curves



Chairman: P. Popivanov - Integrability and Vector Fields

9:00 – 9:40 N. A. Kostov, A. V. Tsiganov Lax pair for restricted multiple three wave interaction system, quasiperiodic solutions and bi-hamiltonian structure

9.40-10.20 R. I. Ivanov Integrable models for shallow water waves

10:40 – 11:00 Coffee break

10:20 -10:40 D. Henry Persistence of solutions for some integrable shallow water equations

10:40 -11:20 T. Valchev New integrable equations of MKdV type

11:20 -12:00 G. G. Grahovski On Nonlinear Schr¨odinger Equations on Symmetric Spaces and their Gauge Equivalent

Chairman: T. Adachi - Integrability and Differential Geometry

15:00 -15:40 V. S. Gerdjikov, N. A. Kostov On multicomponent evolution equations on symmetric spaces with constant boundary conditions

15:40 -16:20 V. M. Vassilev, P. A. Djondjorov, I. M. Mladenov Integrable dynamical systems of the Frenet-Serret type

16:20 -16:40 Coffee break

16:40 -17:20 M. Kokubu On differential geometric aspect of flat fronts in hyperbolic 3-space

17:20 -18:00 V. A. Atanasov, R. Dandoloff, R. Balakrishnan Geometry-induced quantum potentials and qubits





Chairman: N. Kostov - Differential Geometry and Quantum Mechanics

9:00 – 9:40 D. A. Trifonov Pseudo-Hermitian fermion and boson coherent states

9.40-10.20 L. Stepien On some classes of exact solutions of eikonal equation

10:20 – 10:40 Coffee break

10:40 -11:20 P. Djondjorov, V. M. Vassilev, I. M. Mladenov Plane curves associated with integrable dynamical systems of the Frenet-Serret type

11:20 -12:00 B. Z. Iliev Heisenberg relations in the general case

12:00 -12:40 S. H. Chun, J. H. Park, K. Sekigawa Tangent sphere bundles with eta-Einstein structure

Chairman: R. Dandoloff - Differential Geometry and Complex Structures

15:00 -15:40 T. Koda On a variation of the *-scalar curvature

15:40 -16:20 G. Dimitrov, V. Tsanov Complex structures related to SL(3)

16:20 -16:40 Coffee break

16:40 -17:20 J. Lawrinowicz, M. Novak-Kepcryk, O. Suzuki Mathematical outlook of fractals and chaos related to simple orthorhombic Ising-Onsager-Zhang lattices

17:20 -18:00 S. Dimiev, M. S. Marinov, J. Jelev Cyclic hypercomplex systems



Chairman: H. Hashimoto - Complex Structures and Vector Fields

9:00 – 9:40 S. Donev, M. Tashkova On some Strain-Curvature relations on Minkowski space-time

9.40-10.20 M. Manev, M. Teofilova On the curvature properties of real time-like hypersurfaces of K¨ahler manifolds with Norden metric

10:20 – 10:40 Coffee break

10:40 -11:20 B. L. Aneva Exact Solvability from boundary algebra

11:20 -12:00 L. Apostolova, S. Dimiev Double-complex Laplace operator

12:00 -12:40 G. Nakova Some submanifolds of almost contact manifolds with Norden metric

Chairman: V. Gerdjikov - Complex Structures and Vector Fields

15:00 -15:40 Y. Euh, J. H. Park, K. Sekigawa Nearly K¨ahler manifolds with vanishing TV Bochner curvature tensor

15:40 -16:20 M. Teofilova Almost complex connections on almost complex manifolds with Norden metric

16:20 -16:40 Coffee break

16:40 -17:20 A. Petrov Ten reasons for pursuing multi-commutative quantum theories

17:20 -18:00 CLOSING