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Lie groups and geometric aspects of ...

Alexandrino, Marcos M.

Lie groups and geometric aspects of isometric actions

Record Type:	Electronic resources : Monograph/item
Title/Author:	Lie groups and geometric aspects of isometric actionsby Marcos M. Alexandrino, Renato G. Bettiol.
Author:	Alexandrino, Marcos M.
other author:	Bettiol, Renato G.
Published:	Cham :Springer International Publishing :2015.
Description:	x, 213 p. :ill., digital ;24 cm.
Contained By:	Springer eBooks
Subject:	Lie groups.
Online resource:	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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100 1 $a Alexandrino, Marcos M. $3 725094
245 1 0 $a Lie groups and geometric aspects of isometric actions $h [electronic resource] / $c by Marcos M. Alexandrino, Renato G. Bettiol.
260 $a Cham : $b Springer International Publishing : $b Imprint: Springer, $c 2015.
300 $a x, 213 p. : $b ill., digital ; $c 24 cm.
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.
650 0 $a Lie groups. $3 190898
650 0 $a Isometrics (Mathematics) $3 574461
650 1 4 $a Mathematics. $3 184409
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
700 1 $a Bettiol, Renato G. $3 725095
710 2 $a SpringerLink (Online service) $3 273601
773 0 $t Springer eBooks
856 4 0 $u http://dx.doi.org/10.1007/978-3-319-16613-1
950 $a Mathematics and Statistics (Springer-11649)