2007, ISBN: 052134882X
ID: 2690447013
[EAN: 9780521348829], Neubuch, [PU: CAMBRIDGE UNIVERSITY PRESS, United Kingdom], Mathematics|Algebra|Abstract, Mathematics|Geometry|Differential, Mathematics|Geometry|General, Language: English Brand New Book ***** Print on Demand *****.This book provides a striking synthesis of the standard theory of connections in principal bundles and the Lie theory of Lie groupoids. The concept of Lie groupoid is a little-known formulation of the concept of principal bundle and corresponding to the Lie algebra of a Lie group is the concept of Lie algebroid: in principal bundle terms this is the Atiyah sequence. The author s viewpoint is that certain deep problems in connection theory are best addressed by groupoid and Lie algebroid methods. After preliminary chapters on topological groupoids, the author gives the first unified and detailed account of the theory of Lie groupoids and Lie algebroids. He then applies this theory to the cohomology of Lie algebroids, re-interpreting connection theory in cohomological terms, and giving criteria for the existence of (not necessarily Riemannian) connections with prescribed curvature form. This material, presented in the last two chapters, is work of the author published here for the first time. This book will be of interest to differential geometers working in general connection theory and to researchers in theoretical physics and other fields who make use of connection theory.
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ISBN: 052134882X
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[EAN: 9780521348829], Neubuch, [PU: Cambridge University Press], Mathematics|Algebra|Abstract, Mathematics|Geometry|Differential, Mathematics|Geometry|General, BRAND NEW PRINT ON DEMAND., Lie Groupoids and Lie Algebroids in Differential Geometry, K. Mackenzie, This book provides a striking synthesis of the standard theory of connections in principal bundles and the Lie theory of Lie groupoids. The concept of Lie groupoid is a little-known formulation of the concept of principal bundle and corresponding to the Lie algebra of a Lie group is the concept of Lie algebroid: in principal bundle terms this is the Atiyah sequence. The author's viewpoint is that certain deep problems in connection theory are best addressed by groupoid and Lie algebroid methods. After preliminary chapters on topological groupoids, the author gives the first unified and detailed account of the theory of Lie groupoids and Lie algebroids. He then applies this theory to the cohomology of Lie algebroids, re-interpreting connection theory in cohomological terms, and giving criteria for the existence of (not necessarily Riemannian) connections with prescribed curvature form. This material, presented in the last two chapters, is work of the author published here for the first time. This book will be of interest to differential geometers working in general connection theory and to researchers in theoretical physics and other fields who make use of connection theory.
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ISBN: 9780521348829
ID: 593133246
Cambridge University Press. Paperback. New. Paperback. 344 pages. Dimensions: 8.8in. x 5.9in. x 1.0in.This book provides a striking synthesis of the standard theory of connections in principal bundles and the Lie theory of Lie groupoids. The concept of Lie groupoid is a little-known formulation of the concept of principal bundle and corresponding to the Lie algebra of a Lie group is the concept of Lie algebroid: in principal bundle terms this is the Atiyah sequence. The authors viewpoint is that certain deep problems in connection theory are best addressed by groupoid and Lie algebroid methods. After preliminary chapters on topological groupoids, the author gives the first unified and detailed account of the theory of Lie groupoids and Lie algebroids. He then applies this theory to the cohomology of Lie algebroids, re-interpreting connection theory in cohomological terms, and giving criteria for the existence of (not necessarily Riemannian) connections with prescribed curvature form. This material, presented in the last two chapters, is work of the author published here for the first time. This book will be of interest to differential geometers working in general connection theory and to researchers in theoretical physics and other fields who make use of connection theory. This item ships from multiple locations. Your book may arrive from Roseburg,OR, La Vergne,TN., Cambridge University Press
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ISBN: 9780521348829
ID: 978052134882
This book provides a striking synthesis of the standard theory of connections in principal bundles and the Lie theory of Lie groupoids. The concept of Lie groupoid is a little-known formulation of the concept of principal bundle and corresponding to the Lie algebra of a Lie group is the concept of Lie algebroid: in principal bundle terms this is the Atiyah sequence. The author''s viewpoint is that certain deep problems in connection theory are best addressed by groupoid and Lie algebroid methods. After preliminary chapters on topological groupoids, the author gives the first unified and detailed account of the theory of Lie groupoids and Lie algebroids. He then applies this theory to the cohomology of Lie algebroids, re-interpreting connection theory in cohomological terms, and giving criteria for the existence of (not necessarily Riemannian) connections with prescribed curvature form. This material, presented in the last two chapters, is work of the author published here for the first time. This book will be of interest to differential geometers working in general connection theory and to researchers in theoretical physics and other fields who make use of connection theory. K. Mackenzie, Books, Science and Nature, Lie Groupoids and Lie Algebroids in Differential Geometry Books>Science and Nature, Cambridge University Press
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Lie Groupoids and Lie Algebroids in Differential Geometry (London Mathematical Society Lecture Note Series) - Paperback
1987, ISBN: 9780521348829
ID: 576416361
Cambridge University Press, 1987-06-26. Paperback. Used:Good. Buy with confidence. Excellent Customer Service & Return policy. Ships Fast. Expedite Shipping Available., Cambridge University Press, 1987-06-26
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Title: | Lie Groupoids and Lie Algebroids in Differential Geometry |
ISBN: | 9780521348829 |
Details of the book - Lie Groupoids and Lie Algebroids in Differential Geometry
EAN (ISBN-13): 9780521348829
ISBN (ISBN-10): 052134882X
Paperback
Publishing year: 1987
Publisher: CAMBRIDGE UNIV PR
344 Pages
Weight: 0,503 kg
Language: eng/Englisch
Book in our database since 04.12.2007 15:50:05
Book found last time on 28.06.2016 21:05:08
ISBN/EAN: 9780521348829
ISBN - alternate spelling:
0-521-34882-X, 978-0-521-34882-9
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