LEADER 03677nam 22006975 450 001 9910299764003321 005 20200705234857.0 010 $a3-319-16613-1 010 $a3-319-16612-3 024 7 $a10.1007/978-3-319-16613-1 035 $a(CKB)2670000000618800 035 $a(EBL)2094545 035 $a(SSID)ssj0001501574 035 $a(PQKBManifestationID)11848442 035 $a(PQKBTitleCode)TC0001501574 035 $a(PQKBWorkID)11445852 035 $a(PQKB)10126778 035 $a(DE-He213)978-3-319-16613-1 035 $a(MiAaPQ)EBC2094545 035 $a(PPN)186026250 035 $a(EXLCZ)992670000000618800 100 $a20150522d2015 u| 0 101 0 $aeng 135 $aur|n|---||||| 181 $ctxt 182 $cc 183 $acr 200 10$aLie Groups and Geometric Aspects of Isometric Actions$b[electronic resource] /$fby Marcos M. Alexandrino, Renato G. Bettiol 205 $a1st ed. 2015. 210 1$aCham :$cSpringer International Publishing :$cImprint: Springer,$d2015. 215 $a1 online resource (215 p.) 300 $aDescription based upon print version of record. 311 08$aPrint version: Alexandrino, Marcos M. Lie groups and geometric aspects of isometric actions. Cham, [Switzerland] ; Heidelberg, [Germany] : Springer International Publishing, c2015 x, 213 pages 9783319166124 320 $aIncludes bibliographical references and index. 327 $a1: 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. 330 $aThis 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. 606 $aDifferential geometry 606 $aTopological groups 606 $aLie groups 606 $aAlgebraic topology 606 $aDifferential Geometry$3https://scigraph.springernature.com/ontologies/product-market-codes/M21022 606 $aTopological Groups, Lie Groups$3https://scigraph.springernature.com/ontologies/product-market-codes/M11132 606 $aAlgebraic Topology$3https://scigraph.springernature.com/ontologies/product-market-codes/M28019 615 0$aDifferential geometry. 615 0$aTopological groups. 615 0$aLie groups. 615 0$aAlgebraic topology. 615 14$aDifferential Geometry. 615 24$aTopological Groups, Lie Groups. 615 24$aAlgebraic Topology. 676 $a510 676 $a512.55 676 $a512482 676 $a514.2 676 $a516.36 700 $aAlexandrino$b Marcos M$4aut$4http://id.loc.gov/vocabulary/relators/aut$0755578 702 $aBettiol$b Renato G$4aut$4http://id.loc.gov/vocabulary/relators/aut 906 $aBOOK 912 $a9910299764003321 996 $aLie Groups and Geometric Aspects of Isometric Actions$92546580 997 $aUNINA