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CR Submanifolds of Kaehlerian and Sasakian Manifolds
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Beschreibung
I. Structures on Riemannian manifolds. - � Riemannian manifolds. - � Kaehlerian manifolds. - � Sasakian manifolds. - � f-structure. - II. Submanifolds. - � Induced connection and second fundamental form. - � Equations of Gauss, Codazzi and Ricci. - � Normal connection. - � Laplacian of the second fundamental form. - � Submanifolds of space forms. - � Parallel second fundamental form. - III. Contact CR submanifolds. - � Submanifolds of Sasakian manifolds. - � f-structure on submanifolds. - � Integrability of distributions. - � Totally contact umbilical submanifolds. - � Examples of contact CR submanifolds. - � Flat normal connection. - � Minimal contact CR submanifolds. - IV. CR submanifolds. - � Submanifolds of Kaehlerian manifolds. - � CR submanifolds of Hermitian manifolds. - � Characterization of CR submanifolds. - � Distributions. - � Parallel f-structure. - � Totally umbilical submanifolds. - � Examples of CR submanifolds. - � Semi-flat normal connection. - � Normal connection of invariant submanifolds. - �. Parallel mean curvature vector. - �. Integral formulas. - �. CR submanifolds of Cm. - V. Submanifolds and Riemannian fibre bundles. - � Curvature tensors. - � Mean curvature vector. - � Lengths of the second fundamental forms. - VI. Hypersurfaces. - � Real hypersurfaces of complex space forms. - � Pseudo-Einstein real hypersurfaces. - � Generic minimal submanifolds. - � Semidefinite second fundamental form. - � Hypersurfaces of S2n1. - � (f,g,u,v,. )-structure. - Author index.
Spezifikationen
Sprache
- Englisch
Autor
- Masahiro Kon
- Kentaro Yano
Kollektion
- Progress in Mathematics
Erscheinungsjahr
- 2012
Erscheinungsland
- USA
Format
- Buch (Softcover)
Anzahl Seiten
- 224
