Lie Groups and Geometric Aspects of Isometric Actions

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 m...

Descripción completa

Detalles Bibliográficos
Clasificación:Libro Electrónico
Autores principales: Alexandrino, Marcos M. (Autor), Bettiol, Renato G. (Autor)
Autor Corporativo: SpringerLink (Online service)
Formato: Electrónico eBook
Idioma:Inglés
Publicado: Cham : Springer International Publishing : Imprint: Springer, 2015.
Edición:1st ed. 2015.
Temas:
Geometry, Differential.
Topological groups.
Lie groups.
Algebraic topology.
Differential Geometry.
Topological Groups and Lie Groups.
Algebraic Topology.
Acceso en línea:Texto Completo

MARC

LEADER 00000nam a22000005i 4500
001 978-3-319-16613-1
003 DE-He213
005 20220119210641.0
007 cr nn 008mamaa
008 150522s2015 sz | s |||| 0|eng d
020 |a 9783319166131  |9 978-3-319-16613-1 
024 7 |a 10.1007/978-3-319-16613-1  |2 doi 
050 4 |a QA641-670 
072 7 |a PBMP  |2 bicssc 
072 7 |a MAT012030  |2 bisacsh 
072 7 |a PBMP  |2 thema 
082 0 4 |a 516.36  |2 23 
100 1 |a Alexandrino, Marcos M.  |e author.  |4 aut  |4 http://id.loc.gov/vocabulary/relators/aut 
245 1 0 |a Lie Groups and Geometric Aspects of Isometric Actions  |h [electronic resource] /  |c by Marcos M. Alexandrino, Renato G. Bettiol. 
250 |a 1st ed. 2015. 
264 1 |a Cham :  |b Springer International Publishing :  |b Imprint: Springer,  |c 2015. 
300 |a X, 213 p. 14 illus.  |b online resource. 
336 |a text  |b txt  |2 rdacontent 
337 |a computer  |b c  |2 rdamedia 
338 |a online resource  |b cr  |2 rdacarrier 
347 |a text file  |b PDF  |2 rda 
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 Geometry, Differential. 
650 0 |a Topological groups. 
650 0 |a Lie groups. 
650 0 |a Algebraic topology. 
650 1 4 |a Differential Geometry. 
650 2 4 |a Topological Groups and Lie Groups. 
650 2 4 |a Algebraic Topology. 
700 1 |a Bettiol, Renato G.  |e author.  |4 aut  |4 http://id.loc.gov/vocabulary/relators/aut 
710 2 |a SpringerLink (Online service) 
773 0 |t Springer Nature eBook 
776 0 8 |i Printed edition:  |z 9783319166148 
776 0 8 |i Printed edition:  |z 9783319166124 
776 0 8 |i Printed edition:  |z 9783319386270 
856 4 0 |u https://doi.uam.elogim.com/10.1007/978-3-319-16613-1  |z Texto Completo 
912 |a ZDB-2-SMA 
912 |a ZDB-2-SXMS 
950 |a Mathematics and Statistics (SpringerNature-11649) 
950 |a Mathematics and Statistics (R0) (SpringerNature-43713) 

Ejemplares similares