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Published: 11th October 2012This 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 Foliations | p. 1 |
| Foliations of Codimension One | p. 7 |
| Holonomy, Second Fundamental Form, Mean Curvature | p. 17 |
| Basic Forms, Spectral Sequence, Characteristic Form | p. 33 |
| Transversal Riemannian Geometry | p. 43 |
| Flows | p. 69 |
| Hodge Theory for the Transversal Laplacian | p. 81 |
| Cohomology Vanishing and Tautness | p. 99 |
| Lie Foliations | p. 107 |
| Structure of Riemannian Foliations | p. 113 |
| Spectral Geometry of Riemannian Foliations | p. 117 |
| Foliations as Noncommutative Spaces | p. 129 |
| Infinite-Dimensional Riemannian Foliations | p. 133 |
| References on Riemannian Foliations | p. 139 |
| Books and Surveys on Particular Aspects of Foliations | p. 167 |
| Proceedings of Conferences and Symposia devoted to Foliations | p. 171 |
| Bibliography on Foliations. This should be a reasonably complete list of all papers on the subject of foliations up to 1995 | p. 175 |
| Numbers of papers on foliations published during consecutive five year periods up to 1995 | p. 303 |
| Index of Subjects | p. 304 |
| Index of Notations | p. 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
