Introduction To The Geometry Of Foliations Part B
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Introduction To The Geometry Of Foliations Part B
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Author : Gilbert Hector
language : de
Publisher: Springer-Verlag
Release Date : 2013-03-09
Introduction To The Geometry Of Foliations Part B written by Gilbert Hector and has been published by Springer-Verlag this book supported file pdf, txt, epub, kindle and other format this book has been release on 2013-03-09 with Mathematics categories.
Introduction To The Geometry Of Foliations
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Author :
language : en
Publisher:
Release Date : 1987
Introduction To The Geometry Of Foliations written by and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1987 with categories.
Introduction To The Geometry Of Foliations
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Author : Gilbert HECTOR
language : en
Publisher:
Release Date : 1983
Introduction To The Geometry Of Foliations written by Gilbert HECTOR and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1983 with categories.
Introduction To The Geometry Of Foliations Part B
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Author : Gilbert Hector
language : en
Publisher: Springer Science & Business Media
Release Date : 2012-12-06
Introduction To The Geometry Of Foliations Part B written by Gilbert Hector and has been published by Springer Science & Business Media this book supported file pdf, txt, epub, kindle and other format this book has been release on 2012-12-06 with Technology & Engineering categories.
"The book ...is a storehouse of useful information for the mathematicians interested in foliation theory." (John Cantwell, Mathematical Reviews 1992)
Introduction To The Geometry Of Foliations Part A
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Author : Gilbert Hector
language : en
Publisher: Springer Science & Business Media
Release Date : 2012-12-06
Introduction To The Geometry Of Foliations Part A written by Gilbert Hector and has been published by Springer Science & Business Media this book supported file pdf, txt, epub, kindle and other format this book has been release on 2012-12-06 with Mathematics categories.
Foliation theory grew out of the theory of dynamical systems on manifolds and Ch. Ehresmann's connection theory on fibre bundles. Pioneer work was done between 1880 and 1940 by H. Poincare, I. Bendixson, H. Kneser, H. Whitney, and IV. Kaplan - to name a few - who all studied "regular curve families" on surfaces, and later by Ch. Ehresmann, G. Reeb, A. Haefliger and otners between 1940 and 1960. Since then the subject has developed from a collection of a few papers to a wide field of research. ~owadays, one usually distinguishes between two main branches of foliation theory, the so-called quantitative theory (including homotopy theory and cnaracteristic classes) on the one hand, and the qualitative or geometrie theory on the other. The present volume is the first part of a monograph on geometrie aspects of foliations. Our intention here is to present some fundamental concepts and results as weIl as a great number of ideas and examples of various types. The selection of material from only one branch of the theory is conditioned not only by the authors' personal interest but also by the wish to give a systematic and detailed treatment, including complete proofs of all main results. We hope that tilis goal has been achieved
Introduction To The Geometry Of Foliations
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Author : Gilbert Hector
language : en
Publisher:
Release Date : 2014-01-15
Introduction To The Geometry Of Foliations written by Gilbert Hector and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 2014-01-15 with categories.
Geometry Of Foliations
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Author : Philippe Tondeur
language : en
Publisher: Birkhäuser
Release Date : 2012-12-06
Geometry Of Foliations written by Philippe Tondeur and has been published by Birkhäuser this book supported file pdf, txt, epub, kindle and other format this book has been release on 2012-12-06 with Mathematics categories.
The topics in this survey volume concern research done on the differential geom etry of foliations over the last few years. 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. Following the discussion of the special case of flows in Chapter 6, Chapters 7 and 8 are de voted to Hodge theory for the transversal Laplacian and applications of the heat equation method to Riemannian foliations. Chapter 9 on Lie foliations is a prepa ration for the statement of Molino's Structure Theorem for Riemannian foliations in Chapter 10. Some aspects of the spectral theory for Riemannian foliations are discussed in Chapter 11. Connes' point of view of foliations as examples of non commutative spaces is briefly described in Chapter 12. Chapter 13 applies ideas of Riemannian foliation theory to an infinite-dimensional context. Aside from the list of references on Riemannian foliations (items on this list are referred to in the text by [ ]), we have included several appendices as follows. Appendix A is a list of books and surveys on particular aspects of foliations. Appendix B is a list of proceedings of conferences and symposia devoted partially or entirely to foliations. Appendix C is a bibliography on foliations, which attempts to be a reasonably complete list of papers and preprints on the subject of foliations up to 1995, and contains approximately 2500 titles.
Topology Of Foliations An Introduction
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Author : Ichirō Tamura
language : en
Publisher: American Mathematical Soc.
Release Date : 1992
Topology Of Foliations An Introduction written by Ichirō Tamura and has been published by American Mathematical Soc. this book supported file pdf, txt, epub, kindle and other format this book has been release on 1992 with Mathematics categories.
This book provides historical background and a complete overview of the qualitative theory of foliations and differential dynamical systems. Senior mathematics majors and graduate students with background in multivariate calculus, algebraic and differential topology, differential geometry, and linear algebra will find this book an accessible introduction. Upon finishing the book, readers will be prepared to take up research in this area. Readers will appreciate the book for its highly visual presentation of examples in low dimensions. The author focuses particularly on foliations with compact leaves, covering all the important basic results. Specific topics covered include: dynamical systems on the torus and the three-sphere, local and global stability theorems for foliations, the existence of compact leaves on three-spheres, and foliated cobordisms on three-spheres. Also included is a short introduction to the theory of differentiable manifolds.
Introduction To Foliations And Lie Groupoids
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Author : I. Moerdijk
language : en
Publisher: Cambridge University Press
Release Date : 2003-09-18
Introduction To Foliations And Lie Groupoids written by I. Moerdijk and has been published by Cambridge University Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2003-09-18 with Mathematics categories.
This book gives a quick introduction to the theory of foliations, Lie groupoids and Lie algebroids. An important feature is the emphasis on the interplay between these concepts: Lie groupoids form an indispensable tool to study the transverse structure of foliations as well as their noncommutative geometry, while the theory of foliations has immediate applications to the Lie theory of groupoids and their infinitesimal algebroids. The book starts with a detailed presentation of the main classical theorems in the theory of foliations then proceeds to Molino's theory, Lie groupoids, constructing the holonomy groupoid of a foliation and finally Lie algebroids. Among other things, the authors discuss to what extent Lie's theory for Lie groups and Lie algebras holds in the more general context of groupoids and algebroids. Based on the authors' extensive teaching experience, this book contains numerous examples and exercises making it ideal for graduate students and their instructors.
Introduction To The Geometry Of Foliations Part B
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Author : Gilbert Hector
language : en
Publisher: Vieweg+Teubner Verlag
Release Date : 1981
Introduction To The Geometry Of Foliations Part B written by Gilbert Hector and has been published by Vieweg+Teubner Verlag this book supported file pdf, txt, epub, kindle and other format this book has been release on 1981 with Mathematics categories.