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Foliations on Riemannian Manifolds and Submanifolds
Vladimir Rovenski
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| #4164743 in Books | Birkhäuser | 1997-12-29 | Original language:English | PDF # 1 | 9.21 x.69 x6.14l,1.31 | File type: PDF | 286 pages | ||From the Back Cover|The ideas and methods of foliations are very popular in mathematics and its applications. The key problem of this volume is the role of a Riemannian curvature in studies of manifolds and submanifolds with foliations.
This monograph is based on the author's results on the Riemannian ge ometry of foliations with nonnegative mixed curvature and on the geometry of sub manifolds with generators (rulings) in a Riemannian space of nonnegative curvature. The main idea is that such foliated (sub) manifolds can be decom posed when the dimension of the leaves (generators) is large. The methods of investigation are mostly synthetic. The work is divided into two parts, consisting of sev...
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