Author | Yano, Kentaro. author |
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Title | CR Submanifolds of Kaehlerian and Sasakian Manifolds [electronic resource] / by Kentaro Yano, Masahiro Kon |
Imprint | Boston, MA : Birkhรคuser Boston, 1983 |
Connect to | http://dx.doi.org/10.1007/978-1-4684-9424-2 |
Descript | X, 208 p. online resource |
I. Structures on Riemannian manifolds -- ยง1. Riemannian manifolds -- ยง2. Kaehlerian manifolds -- ยง3. Sasakian manifolds -- ยง4. f-structure -- II. Submanifolds -- ยง1. Induced connection and second fundamental form -- ยง2. Equations of Gauss, Codazzi and Ricci -- ยง3. Normal connection -- ยง4. Laplacian of the second fundamental form -- ยง5. Submanifolds of space forms -- ยง6. Parallel second fundamental form -- III. Contact CR submanifolds -- ยง1. Submanifolds of Sasakian manifolds -- ยง2. f-structure on submanifolds -- ยง3. Integrability of distributions -- ยง4. Totally contact umbilical submanifolds -- ยง5. Examples of contact CR submanifolds -- ยง6. Flat normal connection -- ยง7. Minimal contact CR submanifolds -- IV. CR submanifolds -- ยง1. Submanifolds of Kaehlerian manifolds -- ยง2. CR submanifolds of Hermitian manifolds -- ยง3. Characterization of CR submanifolds -- ยง4. Distributions -- ยง5. Parallel f-structure -- ยง6. Totally umbilical submanifolds -- ยง7. Examples of CR submanifolds -- ยง8. Semi-flat normal connection -- ยง9. Normal connection of invariant submanifolds -- ยง10. Parallel mean curvature vector -- ยง11. Integral formulas -- ยง12. CR submanifolds of Cm -- V. Submanifolds and Riemannian fibre bundles -- ยง1. Curvature tensors -- ยง2. Mean curvature vector -- ยง3. Lengths of the second fundamental forms -- VI. Hypersurfaces -- ยง1. Real hypersurfaces of complex space forms -- ยง2. Pseudo-Einstein real hypersurfaces -- ยง3. Generic minimal submanifolds -- ยง4. Semidefinite second fundamental form -- ยง5. Hypersurfaces of S2n+1 -- ยง6. (f,g,u,v,?)-structure -- Author index