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＜電子ブック＞
CR Submanifolds of Kaehlerian and Sasakian Manifolds / by Kentaro Yano, Masahiro Kon
(Progress in Mathematics. ISSN:2296505X ; 30)

版	1st ed. 1983.
出版者	(Boston, MA : Birkhäuser Boston : Imprint: Birkhäuser)
出版年	1983
大きさ	X, 208 p : online resource
著者標目	*Yano, Kentaro author Kon, Masahiro author SpringerLink (Online service)
件　名	LCSH:Geometry, Differential LCSH:Global analysis (Mathematics) LCSH:Manifolds (Mathematics) LCSH:Differential equations FREE:Differential Geometry FREE:Global Analysis and Analysis on Manifolds FREE:Manifolds and Cell Complexes FREE:Differential Equations
一般注記	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 HTTP:URL=https://doi.org/10.1007/978-1-4684-9424-2

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