CR Submanifolds of Complex Projective Space
This book covers the necessary topics for learning the basic properties of complex manifolds and their submanifolds, offering an easy, friendly, and accessible introduction into the subject while aptly guiding the reader to topics of current research and to more advanced publications. The book begin...
| Main Authors: | , |
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| Corporate Author: | |
| Format: | Electronic |
| Language: | English |
| Published: |
New York, NY :
Springer New York,
2010.
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| Series: | Developments in Mathematics, Diophantine Approximation: Festschrift for Wolfgang Schmidt,
19 |
| Subjects: | |
| Online Access: | https://ezaccess.library.uitm.edu.my/login?url=http://dx.doi.org/10.1007/978-1-4419-0434-8 |
Table of Contents:
- 1. Complex manifold
- 2. Almost complex structure
- 3. Complex vector space complexification
- 4. Kh̃ler manifold
- 5. Structure equations of a submanifold
- 6. Submanifolds of a Euclidean space
- 7. Submanifolds of a complex manifold
- 8. The Levi form
- 9. The principal circle bundle S^{2n+1}({ bf P}^n({ bf C}),S^1)
- 10. Submersion and immersion
- 11. Hypersurfaces of a Riemannian manifold of constant curvature
- 12. Hypersurfaces of a sphere S^{n+1}(1/a)
- 13. Hypersurfaces of a sphere with parallel shape operator
- 14. Codimension reduction of a submanifold
- 15. CR submanifolds of maximal CR dimension
- 16. Real hypersurfaces of a complex projective space
- 17. Tubes around submanifolds
- 18. Levi form of CR submanifolds of maximal CR dimension of a complex space form
- 19. Eigenvalues of the shape operator A of CR submanifolds of maximal CR dimension of a complex space form
- 20. CR submanifolds of maximal CR dimension satisfying the condition h(FX,Y)+h(X,FY)=0
- 21. Contact CR submanifolds of maximal CR dimension
- 22. Invariant submanifolds of real hypersurfaces of complex space forms
- 23. The scalar curvature of CR submanifolds of maximal CR dimension.