CR Submanifolds of Kaehlerian and Sasakian Manifolds [electronic resource] /

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.

Bibliographic Details

Main Authors:	Yano, Kentaro. author., Kon, Masahiro. author., SpringerLink (Online service)
Format:	Texto biblioteca
Language:	eng
Published:	Boston, MA : Birkhäuser Boston, 1983
Subjects:	Mathematics., Global analysis (Mathematics)., Manifolds (Mathematics)., Partial differential equations., Differential geometry., Complex manifolds., Differential Geometry., Global Analysis and Analysis on Manifolds., Manifolds and Cell Complexes (incl. Diff.Topology)., Partial Differential Equations.,
Online Access:	http://dx.doi.org/10.1007/978-1-4684-9424-2
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