Kentaro Yano, Masahiro Kon

CR Submanifolds of Kaehlerian and Sasakian Manifolds

• Broschiertes Buch

Produktdetails

• Progress in Mathematics .30
• Verlag: Birkhäuser / Birkhäuser Boston / Springer, Berlin
• Artikelnr. des Verlages: 86106214, 978-1-4684-9426-6
• Softcover reprint of the original 1st ed. 1983
• Seitenzahl: 224
• Erscheinungstermin: 14. Juni 2012
• Englisch
• Abmessung: 229mm x 152mm x 13mm
• Gewicht: 330g
• ISBN-13: 9781468494266
• ISBN-10: 1468494260
• Artikelnr.: 37456051

Inhaltsangabe

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.