Topics in extrinsic geometry of codimension-one foliations /
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Author / Creator: | Rovenskii, Vladimir Y., 1953- |
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Imprint: | New York : Springer, 2011. |
Description: | 1 online resource (xv, 114 p.) : ill. (some col.) |
Language: | English |
Series: | SpringerBriefs in mathematics, 2191-8198 SpringerBriefs in Mathematics. |
Subject: | |
Format: | E-Resource Book |
URL for this record: | http://pi.lib.uchicago.edu/1001/cat/bib/8900156 |
Other authors / contributors: | Walczak, Paweł Grzegorz. |
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ISBN: | 9781441999085 (electronic bk.) 1441999086 (electronic bk.) 1441999078 |
Notes: | Includes bibliographical references and index. Description based on print version record. |
Summary: | Extrinsic geometry describes properties of foliations on Riemannian manifolds which can be expressed in terms of the second fundamental form of the leaves. The authors of Topics in Extrinsic Geometry of Codimension-One Foliations achieve a technical tour de force, which will lead to important geometric results. The Integral Formulae, introduced in chapter 1, is a useful for problems such as: prescribing higher mean curvatures of foliations, minimizing volume and energy defined for vector or plane fields on manifolds, and existence of foliations whose leaves enjoy given geometric properties. Th. |
Other form: | Print version: Rovenski, Vladimir. Topics in extrinsic geometry of codimension-one foliations. New York : Springer, 2011 |
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