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Geometry of foliations

Author: Philippe Tondeur
Publisher: Basel ; Boston : Birkhäuser Verlag, ©1997.
Series: Monographs in mathematics, v. 90.
Edition/Format:   Print book : EnglishView all editions and formats
Summary:

After a discussion of the basic concepts in the theory of foliations in the first four chapters, the subject is narrowed down to Riemannian foliations on closed manifolds beginning with Chapter 5.  Read more...

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Additional Physical Format: Online version:
Tondeur, Philippe.
Geometry of foliations.
Basel ; Boston : Birkhäuser Verlag, ©1997
(OCoLC)680318895
Material Type: Internet resource
Document Type: Book, Internet Resource
All Authors / Contributors: Philippe Tondeur
ISBN: 376435741X 9783764357412 081765741X 9780817657413
OCLC Number: 36798363
Description: viii, 305 pages ; 24 cm.
Contents: 1 Examples and Definition of Foliations.- 2 Foliations of Codimension One.- 3 Holonomy, Second Fundamental Form, Mean Curvature.- 4 Basic Forms, Spectral Sequence, Characteristic Form.- 5 Transversal Riemannian Geometry.- 6 Flows.- 7 Hodge Theory for the Transversal Laplacian.- 8 Cohomology Vanishing and Tautness.- 9 Lie Foliations.- 10 Structure of Riemannian Foliations.- 11 Spectral Geometry of Riemannian Foliations.- 12 Foliations as Noncommutative Spaces.- 13 Infinite-Dimensional Riemannian Foliations.- References on Riemannian Foliations.- Appendix A Books and Surveys on Particular Aspects of Foliations.- Appendix B Proceedings of Conferences and Symposia devoted to Foliations.- Appendix C Bibliography on Foliations. This should be a reasonably complete list of all papers on the subject of foliations up to 1995.- Appendix D Numbers of papers on foliations published during consecutive five year periods up to 1995.- Index of Subjects.- Index of Notations.
Series Title: Monographs in mathematics, v. 90.
Responsibility: Philippe Tondeur.

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