CR Submanifolds of Kaehlerian and Sasakian Manifolds [Paperback]

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.Springer Book Archives