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Geometry of Foliations : Operator Theory, Advances and Applications - Philippe Tondeur

Geometry of Foliations

Operator Theory, Advances and Applications

Hardcover Published: February 2004
ISBN: 9783764357412
Number Of Pages: 310

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This volume describes research on the differential geometry of foliations, in particular Riemannian foliations, done over the last few years. It can be read by graduate students and researchers with a background in differential geometry and Riemannian geometry. Of particular interest will be the Hodge theory for the transversal Laplacian, and applications of the heat equation method to Riemannian foliations. There are chapters on the spectral theory for Riemannian foliations, on Connes' point of view of foliations as examples of noncommutative spaces, and a chapter on infinite-dimensional examples of Riemannian foliations.

Introduction
Examples and Definition of Foliationsp. 1
Foliations of Codimension Onep. 7
Holonomy, Second Fundamental Form, Mean Curvaturep. 17
Basic Forms, Spectral Sequence, Characteristic Formp. 33
Transversal Riemannian Geometryp. 43
Flowsp. 69
Hodge Theory for the Transversal Laplacianp. 81
Cohomology Vanishing and Tautnessp. 99
Lie Foliationsp. 107
Structure of Riemannian Foliationsp. 113
Spectral Geometry of Riemannian Foliationsp. 117
Foliations as Noncommutative Spacesp. 129
Infinite-Dimensional Riemannian Foliationsp. 133
References on Riemannian Foliationsp. 139
Books and Surveys on Particular Aspects of Foliationsp. 167
Proceedings of Conferences and Symposia devoted to Foliationsp. 171
Bibliography on Foliations. This should be a reasonably complete list of all papers on the subject of foliations up to 1995p. 175
Numbers of papers on foliations published during consecutive five year periods up to 1995p. 303
Index of Subjectsp. 304
Index of Notationsp. 305
Table of Contents provided by Blackwell. All Rights Reserved.

ISBN: 9783764357412
ISBN-10: 376435741X
Series: Operator Theory, Advances and Applications
Audience: Professional
Format: Hardcover
Language: English
Number Of Pages: 310
Published: February 2004
Publisher: SPRINGER VERLAG GMBH
Country of Publication: CH
Dimensions (cm): 23.39 x 15.6  x 1.91
Weight (kg): 0.63

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