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Record Nr. |
UNINA9910299764003321 |
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Autore |
Alexandrino Marcos M |
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Titolo |
Lie Groups and Geometric Aspects of Isometric Actions / / by Marcos M. Alexandrino, Renato G. Bettiol |
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Pubbl/distr/stampa |
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Cham : , : Springer International Publishing : , : Imprint : Springer, , 2015 |
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ISBN |
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3-319-16613-1 |
3-319-16612-3 |
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Edizione |
[1st ed. 2015.] |
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Descrizione fisica |
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1 online resource (215 p.) |
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Disciplina |
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510 |
512.55 |
512482 |
514.2 |
516.36 |
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Soggetti |
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Geometry, Differential |
Topological groups |
Lie groups |
Algebraic topology |
Differential Geometry |
Topological Groups, Lie Groups |
Algebraic Topology |
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Lingua di pubblicazione |
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Formato |
Materiale a stampa |
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Livello bibliografico |
Monografia |
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Note generali |
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Description based upon print version of record. |
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Nota di bibliografia |
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Includes bibliographical references and index. |
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Nota di contenuto |
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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. |
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Sommario/riassunto |
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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, |
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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. |
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