This book is the Proceedings of the 8th International Workshop on Complex Structures and Vector Fields held at Bulgarian Academy of Sciences, Institute of Mathematics and Informatics (Sofia) from August 21 to August 2, 2006. The first Workshop was held at the same place on 1992. We are aiming at the higher achievement of the studies of current topics in Complex Analysis, Differential Geometry, Mathematical Physics and also of the intermediate ones among them including their applications.
CONTENTS
Preface
1. Organizing Committee
2. Contributed Communications
3. Moduli space of Killing helices of low orders on a complex space form
4. Type two Killing helices of proper order four on a complex projective plane
5. Real analyticity of the hyperkahler almost K¨ahler manifolds
6. KCC and linear stability for the Parkinson tremor model
7. The Camassa-Holm equation as a geodesic flow for the H1 right-invariant metric
8. Fermi-Walker parallel transport, time evolution of a space curve and the Schr¨odinger equation as a moving curve
9. Remarks on bicomplex variables and other similar variables
10. Integrability, curvature and description of photon-like objects
11. Complex submanifolds and Lagrangian submanifolds associate with minimal surfaces in tori
12. About resonances for Schr¨odinger operators with short range singular perturbation
13. Soliton equations with deep reductions. Generalized Fourier transforms
14. On some deformations of almost complex structures of 6-dimensional submanifolds in the octonions
15. On the real hypersurfaces of locally conformally-K¨ahler manifolds
16. Normal frames and linear transports along paths in line bundles. Applications to classical electrodynamics
17. Existence and uniqueness results for the Schr¨odinger — Poisson system below the energy norm
18. Double-complex quadratic forms
19. Effects of finite arithmetic in numerical computations
20. Exact solutions of the manakov system
21. The Manakov system as two moving interacting curves
22. Cluster sets and periodicity in some structure fractals
23. Sectional curvatures of some homogeneous real hypersurfaces in a complex projective space
24. On three-parametric Lie groups as quasi-K¨ahler manifolds with killing Norden metric
25. Application of unscented and extended Kalman filtering for estimating quaternion motion
26. Counterexamples of compact type to the Goldberg conjecture and various version of the conjecture
27. Dispersion and asymptotic profiles for Kirchhoff equations
28. Geometry of statistical manifolds and its generalization
29. On some non-integrable almost contact manifolds with norden metric of dimension 5
30. Complexification of the propagator for the harmonic oscillator
31. Some critical almost K¨ahler structures with a fixed K¨ahler class
32. On the hypoellipticity of some classes of overdetermined systems of differential and pseudodifferential operators
33. Lie groups as four-dimensional Riemannian product manifolds
34. Differential forms of many double-complex variables
35. Isometric immersions and extrinsic shapes of smooth curves
36. Lie groups as four-dimensional conformal K¨ahler manifolds with Norden metric
37. B¨acklund transformations and Riemann-Hilbert problem for N wave equations with additional symmetries
Author Index
CONTENTS
Preface
1. Organizing Committee
2. Contributed Communications
3. Moduli space of Killing helices of low orders on a complex space form
4. Type two Killing helices of proper order four on a complex projective plane
5. Real analyticity of the hyperkahler almost K¨ahler manifolds
6. KCC and linear stability for the Parkinson tremor model
7. The Camassa-Holm equation as a geodesic flow for the H1 right-invariant metric
8. Fermi-Walker parallel transport, time evolution of a space curve and the Schr¨odinger equation as a moving curve
9. Remarks on bicomplex variables and other similar variables
10. Integrability, curvature and description of photon-like objects
11. Complex submanifolds and Lagrangian submanifolds associate with minimal surfaces in tori
12. About resonances for Schr¨odinger operators with short range singular perturbation
13. Soliton equations with deep reductions. Generalized Fourier transforms
14. On some deformations of almost complex structures of 6-dimensional submanifolds in the octonions
15. On the real hypersurfaces of locally conformally-K¨ahler manifolds
16. Normal frames and linear transports along paths in line bundles. Applications to classical electrodynamics
17. Existence and uniqueness results for the Schr¨odinger — Poisson system below the energy norm
18. Double-complex quadratic forms
19. Effects of finite arithmetic in numerical computations
20. Exact solutions of the manakov system
21. The Manakov system as two moving interacting curves
22. Cluster sets and periodicity in some structure fractals
23. Sectional curvatures of some homogeneous real hypersurfaces in a complex projective space
24. On three-parametric Lie groups as quasi-K¨ahler manifolds with killing Norden metric
25. Application of unscented and extended Kalman filtering for estimating quaternion motion
26. Counterexamples of compact type to the Goldberg conjecture and various version of the conjecture
27. Dispersion and asymptotic profiles for Kirchhoff equations
28. Geometry of statistical manifolds and its generalization
29. On some non-integrable almost contact manifolds with norden metric of dimension 5
30. Complexification of the propagator for the harmonic oscillator
31. Some critical almost K¨ahler structures with a fixed K¨ahler class
32. On the hypoellipticity of some classes of overdetermined systems of differential and pseudodifferential operators
33. Lie groups as four-dimensional Riemannian product manifolds
34. Differential forms of many double-complex variables
35. Isometric immersions and extrinsic shapes of smooth curves
36. Lie groups as four-dimensional conformal K¨ahler manifolds with Norden metric
37. B¨acklund transformations and Riemann-Hilbert problem for N wave equations with additional symmetries
Author Index
Páginas : 352
Peso : 3mb.
Formato : PDF.
Edición : Primera
Año de Publicación :2007
ISBN : 978-9812707901
Editorial : World Scientific Publishing Company
Autor: Stancho Dimiev
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