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Catalogue Information
Field name
Details
Dewey Class
516.36
Title
CR Submanifolds of Kaehlerian and Sasakian Manifolds ([EBook]) / by Kentaro Yano, Masahiro Kon.
Author
Yano, Kentaro , 1912-1993
Added Personal Name
Kon, Masahiro
Other name(s)
SpringerLink (Online service)
Publication
Boston, MA : Birkhäuser , 1983
Physical Details
X, 208 pages : online resource.
Series
Progress in mathematics
0743-1643 ; ; 30
ISBN
9781468494242
Contents note
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.
System details note
Online access to this digital book is restricted to subscription institutions through IP address (only for SISSA internal users)
Internet Site
http://dx.doi.org/10.1007/978-1-4684-9424-2
Links to Related Works
Subject References:
CR submanifolds
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Global Analysis and Analysis on Manifolds
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Global analysis (Mathematics)
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Kählerian manifolds
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Manifolds and Cell Complexes (incl. Diff.Topology)
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Manifolds (Mathematics)
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Partial differential equations
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Sasakian manifolds
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Authors:
author
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Kon, Masahiro
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Yano, Kentaro 1912-1993
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Corporate Authors:
SpringerLink (Online service)
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Series:
Progress in mathematics
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Classification:
516.36
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