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Invariant Manifolds

โœ Scribed by Morris W. Hirsch, Charles C. Pugh, Michael Shub (auth.)


Publisher
Springer-Verlag Berlin Heidelberg
Year
1977
Tongue
English
Leaves
160
Series
Lecture Notes in Mathematics 583
Edition
1
Category
Library

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โœฆ Table of Contents


Introduction....Pages 1-5
The linear theory of normal hyperbolicity....Pages 5-24
The C r section theorem and lipschitz jets....Pages 25-38
The local theory of normally hyperbolic, invariant, compact manifolds....Pages 39-53
Pseudo hyperbolicity and plaque families....Pages 53-64
Center manifolds....Pages 64-67
Noncompactness and uniformity....Pages 67-108
Forced smoothness of i: V โ†’ M....Pages 108-110
Branched laminations....Pages 110-114
Normally hyperbolic foliations and laminations....Pages 115-132
Local product structure and local stability....Pages 132-136
Equivariant fibrations and nonwandering sets....Pages 136-144

โœฆ Subjects


Manifolds and Cell Complexes (incl. Diff.Topology)


๐Ÿ“œ SIMILAR VOLUMES


Invariant manifolds
โœ M.W. Hirsch, C.C. Pugh, M. Shub ๐Ÿ“‚ Library ๐Ÿ“… 1977 ๐Ÿ› Springer ๐ŸŒ English
Invariant Manifolds
โœ M.W. Hirsch, C.C. Pugh, M. Shub ๐Ÿ“‚ Library ๐Ÿ“… 1977 ๐Ÿ› Springer ๐ŸŒ English
Invariant Forms on Grassmann Manifolds
โœ Wilhelm Stoll ๐Ÿ“‚ Library ๐Ÿ“… 1978 ๐Ÿ› Princeton University Press ๐ŸŒ English

Most of the results in this monograph are known. The method of proof is new, especially in the case of Matsushima's theorem. The topic is not easily accessible. Therefore an introduction has been written here in order to provide a clear, coherent, intransically formulated account which will be usefu