CR Submanifolds of Kaehlerian and Sasakian Manifolds
| Main Authors: | , |
|---|---|
| Format: | eBook |
| Language: | English |
| Published: |
Boston, MA
Birkhäuser Boston
1983, 1983
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| Edition: | 1st ed. 1983 |
| Series: | Progress in Mathematics
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| Subjects: | |
| Online Access: | |
| Collection: | Springer Book Archives -2004 - Collection details see MPG.ReNa |
Table of Contents:
- I. Structures on Riemannian manifolds
- §1. Riemannian manifolds
- §2. Kaehlerian manifolds
- §3. Sasakian manifolds
- §4. f-structure
- II. Submanifolds
- §1. Induced connection and second fundamental form
- §2. Equations of Gauss, Codazzi and Ricci
- §3. Normal connection
- §4. Laplacian of the second fundamental form
- §5. Submanifolds of space forms
- §6. Parallel second fundamental form
- III. Contact CR submanifolds
- §1. Submanifolds of Sasakian manifolds
- §2. f-structure on submanifolds
- §3. Integrability of distributions
- §4. Totally contact umbilical submanifolds
- §5. Examples of contact CR submanifolds
- §6. Flat normal connection
- §7. Minimal contact CR submanifolds
- IV. CR submanifolds
- §1. Submanifolds of Kaehlerian manifolds
- §2. CR submanifolds of Hermitian manifolds
- §3. Characterization of CR submanifolds
- §4. Distributions
- §5. Parallel f-structure
- §6. Totally umbilical submanifolds
- §7. Examples of CR submanifolds
- §8. Semi-flat normal connection
- §9. Normal connection of invariant submanifolds
- §10. Parallel mean curvature vector
- §11. Integral formulas
- §12. CR submanifolds of Cm
- V. Submanifolds and Riemannian fibre bundles
- §1. Curvature tensors
- §2. Mean curvature vector
- §3. Lengths of the second fundamental forms
- VI. Hypersurfaces
- §1. Real hypersurfaces of complex space forms
- §2. Pseudo-Einstein real hypersurfaces
- §3. Generic minimal submanifolds
- §4. Semidefinite second fundamental form
- §5. Hypersurfaces of S2n+1
- §6. (f,g,u,v,?)-structure
- Author index