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Foliations on Riemannian Manifolds
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Authors: Philippe Tondeur
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Type: BOOK - Published: 2012-12-06 - Publisher: Springer Science & Business Media

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A first approximation to the idea of a foliation is a dynamical system, and the resulting decomposition of a domain by its trajectories. This is an idea that da
Foliations on Riemannian Manifolds and Submanifolds
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Authors: Vladimir Rovenski
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Type: BOOK - Published: 2012-12-06 - Publisher: Springer Science & Business Media

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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
Riemannian Foliations
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Type: BOOK - Published: 2012-12-06 - Publisher: Springer Science & Business Media

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Foliation theory has its origins in the global analysis of solutions of ordinary differential equations: on an n-dimensional manifold M, an [autonomous] differe
Metric Foliations and Curvature
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Authors: Detlef Gromoll
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Riemannian manifolds, particularly those with positive or nonnegative curvature, are constructed from only a handful by means of metric fibrations or deformatio
Extrinsic Geometry of Foliations
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Authors: Vladimir Rovenski
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This book is devoted to geometric problems of foliation theory, in particular those related to extrinsic geometry, modern branch of Riemannian Geometry. The con