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Lie groups and geometric aspects of ...

Alexandrino, Marcos M.

Lie groups and geometric aspects of isometric actions

紀錄類型:	書目-電子資源 : Monograph/item
正題名/作者:	Lie groups and geometric aspects of isometric actionsby Marcos M. Alexandrino, Renato G. Bettiol.
作者:	Alexandrino, Marcos M.
其他作者:	Bettiol, Renato G.
出版者:	Cham :Springer International Publishing :2015.
面頁冊數:	x, 213 p. :ill., digital ;24 cm.
Contained By:	Springer eBooks
標題:	Lie groups.
電子資源:	http://dx.doi.org/10.1007/978-3-319-16613-1
ISBN:	9783319166131 (electronic bk.)

Lie groups and geometric aspects of isometric actions
Alexandrino, Marcos M.

Lie groups and geometric aspects of isometric actions[electronic resource] /by Marcos M. Alexandrino, Renato G. Bettiol. - Cham :Springer International Publishing :2015. - x, 213 p. :ill., digital ;24 cm.

1: Basic results on Lie groups -- 2: Lie groups with bi-invariant metrics -- 3: Proper and isometric acions -- 4: Adjoint and conjugation actions -- 5: Polar foliations -- 6: Low cohomogeneity actions and positive curvature -- Appendix: Rudiments of smooth manifolds. .

This book provides quick access to the theory of Lie groups and isometric actions on smooth manifolds, using a concise geometric approach. After a gentle introduction to the subject, some of its recent applications to active research areas are explored, keeping a constant connection with the basic material. The topics discussed include polar actions, singular Riemannian foliations, cohomogeneity one actions, and positively curved manifolds with many symmetries. This book stems from the experience gathered by the authors in several lectures along the years, and was designed to be as self-contained as possible. It is intended for advanced undergraduates, graduate students, and young researchers in geometry, and can be used for a one-semester course or independent study.

ISBN: 9783319166131 (electronic bk.)

Standard No.: 10.1007/978-3-319-16613-1doiSubjects--Topical Terms:

190898
Lie groups.

LC Class. No.: QA387

Dewey Class. No.: 512.482

Lie groups and geometric aspects of isometric actions
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505 0 $a 1: Basic results on Lie groups -- 2: Lie groups with bi-invariant metrics -- 3: Proper and isometric acions -- 4: Adjoint and conjugation actions -- 5: Polar foliations -- 6: Low cohomogeneity actions and positive curvature -- Appendix: Rudiments of smooth manifolds. .
520 $a This book provides quick access to the theory of Lie groups and isometric actions on smooth manifolds, using a concise geometric approach. After a gentle introduction to the subject, some of its recent applications to active research areas are explored, keeping a constant connection with the basic material. The topics discussed include polar actions, singular Riemannian foliations, cohomogeneity one actions, and positively curved manifolds with many symmetries. This book stems from the experience gathered by the authors in several lectures along the years, and was designed to be as self-contained as possible. It is intended for advanced undergraduates, graduate students, and young researchers in geometry, and can be used for a one-semester course or independent study.
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650 0 $a Isometrics (Mathematics) $3 574461
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650 2 4 $a Differential Geometry. $3 273785
650 2 4 $a Topological Groups, Lie Groups. $3 273787
650 2 4 $a Algebraic Topology. $3 273784
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