03650nam 22006975 450 991029976400332120200705234857.03-319-16613-13-319-16612-310.1007/978-3-319-16613-1(CKB)2670000000618800(EBL)2094545(SSID)ssj0001501574(PQKBManifestationID)11848442(PQKBTitleCode)TC0001501574(PQKBWorkID)11445852(PQKB)10126778(DE-He213)978-3-319-16613-1(MiAaPQ)EBC2094545(PPN)186026250(EXLCZ)99267000000061880020150522d2015 u| 0engur|n|---|||||txtccrLie Groups and Geometric Aspects of Isometric Actions /by Marcos M. Alexandrino, Renato G. Bettiol1st ed. 2015.Cham :Springer International Publishing :Imprint: Springer,2015.1 online resource (215 p.)Description based upon print version of record.Print version: Alexandrino, Marcos M. Lie groups and geometric aspects of isometric actions. Cham, [Switzerland] ; Heidelberg, [Germany] : Springer International Publishing, c2015 x, 213 pages 9783319166124 Includes bibliographical references and index.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.Differential geometryTopological groupsLie groupsAlgebraic topologyDifferential Geometryhttps://scigraph.springernature.com/ontologies/product-market-codes/M21022Topological Groups, Lie Groupshttps://scigraph.springernature.com/ontologies/product-market-codes/M11132Algebraic Topologyhttps://scigraph.springernature.com/ontologies/product-market-codes/M28019Differential geometry.Topological groups.Lie groups.Algebraic topology.Differential Geometry.Topological Groups, Lie Groups.Algebraic Topology.510512.55512482514.2516.36Alexandrino Marcos Mauthttp://id.loc.gov/vocabulary/relators/aut755578Bettiol Renato Gauthttp://id.loc.gov/vocabulary/relators/autBOOK9910299764003321Lie Groups and Geometric Aspects of Isometric Actions2546580UNINA