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Perspectives of Complex Analysis, Differential Geometry and Mathematical Physics : Proceedings of the 5th International Workshop on Complex Structures and Vector Fields St. Konstantin, Bulgaria 3-9 September 2000.
This workshop brought together specialists in complex analysis, differential geometry, mathematical physics and applications for stimulating cross-disciplinary discussions. The lectures presented ranged over various current topics in those fields. The proceedings will be of value to graduate student...
| Clasificación: | Libro Electrónico |
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| Autor principal: | |
| Otros Autores: | |
| Formato: | Electrónico eBook |
| Idioma: | Inglés |
| Publicado: |
Singapore :
World Scientific Publishing Company,
2001.
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| Temas: | |
| Acceso en línea: | Texto completo |
Tabla de Contenidos:
- Preface; CONTENTS; The Deligne-Simpson Problem for Zero Index of Rigidity; 1 Introduction; 2 Definitions and known facts; 3 The basic result; 4 Proof of Theorem 14; 5 Case A); 6 Case C); 7 Case B); 8 Case D); 9 Proof of Theorem 15 in the case of matrices Aj; References; Theorems for Extension on Manifolds with Almost Complex Structures; 1 Introduction; 2 Hahn-Banach type theorems; 3 Proofs; 4 Extension of invariant differential forms; References; The Theorem on Analytic Representation on Hypersurface with Singularities; References; Pseudogroup Structures on Spencer Manifolds
- 1 Recall of definitions2 Pseudogroup structures; 3 T-manifolds integrability of (M J); 4 T-coherency; 5 Perspectives; References; Type-Changing Transformations of Hurwitz Pairs Quasiregular Functions and Hyper Kahlerian Holomorphic Chains I; 1 Introduction; 2 Dualities; 3 Complementarity; References; Embedding of the Moduli Space of Riemann Surfaces with Igeta Structures into the Sato Grassmann Manifold; 1 Introduction; 2 Preliminaries; 3 Embedding and IGL1(C)-actions; References; On the Quotient Spaces of S2 x S2 under the Natural Action of Subgroups of D4; 1 Introduction; 2 Notation
- 3 The quotient spaces in Massey's diagram4 Other quotient spaces in the complete diagram; 5 Problems; Acknowledgments; References; Existence of Spin Structures on Cyclic Branched Covering Spaces over Four-Manifolds; 1 Introduction; 2 Preliminaries; 3 Proof of Theorem 1.1; References; Length Spectrum of Geodesic Spheres in Rank One Symmetric Spaces; 1 Introduction; 2 Geodesic spheres and tubes around hyperplanes; 3 Length spectrum from qualitative viewpoint; 4 Length spectrum from quantitative viewpoint; 5 Structure torsion of geodesics; 6 Congruency of geodesics; 7 Sketch of Proofs
- AcknowledgmentReferences; Grassmann Geometry of 6-Dimensional Sphere II; Introduction; 1 Preliminaries; 2 J-holomorphic curves; 3 3-dimensional submanifolds; 4 4-dimensional submanifolds; References; Hypersurfaces in Euclidean Space which are One-Parameter Families of Spheres; 1 Introduction; 2 Spheres of codimension two in Euclidean space; 3 One-parameter families of spheres of codimension two in En + 1; References; Hypersurfaces of Conullity Two in Euclidean Space which are One-Parameter Systems of Torses; 1 Preliminaries; 2 Hypersurfaces of conullity two in Euclidean space
- 3 Torses in Euclidean space4 Hypersurfaces of conullity two and one-parameter systems of torses; References; Real Hypersurfaces of a Kaehler Manifold (the Sixteen Classes); 1 Introduction; 2 The sixteen possible classes of real hypersurfaces of a Kaehler manifold; 3 Examples; References; Almost Contact B-Metric Hypersurfaces of Kaehlerian Manifolds with B-Metric; Introduction; 1 Preliminaries; 2 Time-like hypersurfaces of an almost complex manifold with B-metric; 3 Isotropic hypersurfaces regarding the associated metric of an almost complex manifold with B-metric; References