Titlebook: Riemannian Geometry of Contact and Symplectic Manifolds; David E. Blair Book 20021st edition Springer Science+Business Media New York 2002

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Riemannian Geometry of Contact and Symplectic Manifolds978-1-4757-3604-5Series ISSN 0743-1643 Series E-ISSN 2296-505X

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0743-1643 ries have been out of print for some time and it seems appropriate that an expanded version of this material should become available. The present text deals with the Riemannian geometry of both symplectic and contact manifolds, although the book is more contact than symplectic. This work is based on

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Contact Manifolds, manifold is orientable. Also . has rank 2. on the Grassmann algebra ∧ ... at each point . ∈ . and thus we have a 1-dimensional subspace, {. ∈ ...|.(...) = 0}, on which . ≠ 0 and which is complementary to the subspace on which . = 0. Therefore choosing .. in this subspace normalized by .(..) = 1 we

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Associated Metrics,rtant for our study; many of these were already mentioned in Chapter 1. For more detail the reader is referred to Gray and Hervella [1980] , Kobayashi-Nomizu [1963–69, Chapter IX] and Kobayashi-Wu [1983]; also, despite its classical nature, the book of Yano [1965] contains helpful information on man

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,Submanifolds of K?hler and Sasakian Manifolds,c results. For a submanifold . of a Riemannian manifold (., .) we denote the induced metric by .. Then the Levi-Cività connection ? of . and the second fundamental form . are related to the ambient Levi-Cività connection ?? by ..

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