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＜電子ブック＞
Lie Groups and Geometric Aspects of Isometric Actions / by Marcos M. Alexandrino, Renato G. Bettiol

版	1st ed. 2015.
出版者	(Cham : Springer International Publishing : Imprint: Springer)
出版年	2015
大きさ	X, 213 p. 14 illus : online resource
著者標目	*Alexandrino, Marcos M author Bettiol, Renato G author SpringerLink (Online service)
件　名	LCSH:Geometry, Differential LCSH:Topological groups LCSH:Lie groups LCSH:Algebraic topology FREE:Differential Geometry FREE:Topological Groups and Lie Groups FREE:Algebraic Topology
一般注記	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 HTTP:URL=https://doi.org/10.1007/978-3-319-16613-1

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