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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.
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.
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