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 formul… Mehr…
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.; PDF; Scientific, Technical and Medical > Mathematics > Geometry, Cambridge University Press<
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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 formul… Mehr…
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.; PDF; Scientific, Technical and Medical > Mathematics > Geometry, Cambridge University Press<
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No. 9780511892349. Versandkosten:Instock, Despatched same working day before 3pm, zzgl. Versandkosten. Details...
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Lie Groupoids and Lie Algebroids in Differential Geometry: ab 76.49 € eBooks > Fachthemen & Wissenschaft > Mathematik Cambridge University Press eBook als pdf, Cambridge University Press
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Lie Groupoids and Lie Algebroids in Differential Geometry: ab 76.99 € eBooks > Fachthemen & Wissenschaft > Mathematik Cambridge University Press eBook als pdf, Cambridge University Press
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Lie Groupoids and Lie Algebroids in Differential Geometry: ab 77.49 € eBooks > Fachthemen & Wissenschaft > Mathematik Cambridge University Press, Cambridge University Press
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(*) Derzeit vergriffen bedeutet, dass dieser Titel momentan auf keiner der angeschlossenen Plattform verfügbar ist.
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 formul… Mehr…
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.; PDF; Scientific, Technical and Medical > Mathematics > Geometry, Cambridge University Press<
No. 9780511892349. Versandkosten:Instock, Despatched same working day before 3pm, zzgl. Versandkosten.
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 formul… Mehr…
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.; PDF; Scientific, Technical and Medical > Mathematics > Geometry, Cambridge University Press<
No. 9780511892349. Versandkosten:Instock, Despatched same working day before 3pm, zzgl. Versandkosten.
Lie Groupoids and Lie Algebroids in Differential Geometry: ab 76.49 € eBooks > Fachthemen & Wissenschaft > Mathematik Cambridge University Press eBook als pdf, Cambridge University Press
Lie Groupoids and Lie Algebroids in Differential Geometry: ab 76.99 € eBooks > Fachthemen & Wissenschaft > Mathematik Cambridge University Press eBook als pdf, Cambridge University Press
Lie Groupoids and Lie Algebroids in Differential Geometry: ab 77.49 € eBooks > Fachthemen & Wissenschaft > Mathematik Cambridge University Press, Cambridge University Press
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Detailangaben zum Buch - Lie Groupoids and Lie Algebroids in Differential Geometry
EAN (ISBN-13): 9780511892349 Erscheinungsjahr: 6 Herausgeber: Cambridge University Press
Buch in der Datenbank seit 2008-03-18T18:04:10+01:00 (Berlin) Detailseite zuletzt geändert am 2024-03-11T12:34:41+01:00 (Berlin) ISBN/EAN: 9780511892349
ISBN - alternative Schreibweisen: 978-0-511-89234-9 Alternative Schreibweisen und verwandte Suchbegriffe: Autor des Buches: mackenzie Titel des Buches: differential geometry, lie groupoids
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