دانلود کتاب CR Submanifolds of Kaehlerian and Sasakian Manifolds

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This volume presents an introduction and survey of the latest results pertaining to the study of CR sub. manifolds of Kaehlerian and Sasakian manifolds, a relatively new field of differential geometry. The volume also contains all prerequisite information on Riemannian, Kaehlerian, Sasakian manifolds, f-struc- tures, and submaitifolds necessary to understand these results. Introduction Chapter I. Structures on Riemannian manifolds 91. Riemannian manifolds 92. Kaehlerian manifolds 93. Sasakiilll milllifolds 94. f-structure Chapter II. Submanifolds 91. Induced connection illld second fundamental form 92. Equations of Gauss, Codazzi illld Ricci 93. Normal connection 94. Laplacian of the second fundamental form 95. Subnillllifolds of space forms 96. Parallel second fundamental form Chapter III. Contact CR submanifolds 91. Submanifolds of Sasakian manifolds 92. f-structure on submanifolds 93. Integrability of distributions 94. Totally contact umbilical submanifolds 95. EXillnplcs of contact CR submilllifolds 96. Flat normal connection 97. minimal contact CR submanifolds Chapter IV. CR submanifolds 91. Submanifolds of Kaehlerian manifolds 92. CR submanifolds of IIermitian manifolds 93. Characterization of CR submanifolds 94. Distributions 95. Parallel f-structure 96. Totally umbilical submanifolds 97. Examples of CR submanifolds 98. Semi-flat normal connection 99. Normal connection of invariant submanifolds 910. Parallcl mean curvature vector 911. Integral fonnulas 912. CR submanifolds of em Chapter V. Submanifolds and Riemannian fibre bundles 91. Curvature tensors 92. Mean curvature vector 93. Lengths of the second fundamental forms Chapter VI. Hypersurfaces Real hypersurfaces of complex space forms Pseudo-Einstein real hypersurfaces Generic minimal submanifolds Semidefinite second fundamental form Hypersurfaces of S2n+l (f,g,u,V,A)-structure Bibliography Author index Subject index