Spaces of constant curvature / Joseph A. Wolf.
Editor: Providence, R.I. : AMS Chelsea Pub., c2011Edición: 6th edDescripción: xv, 420 p. : il. ; 27 cmISBN: 9780821852828 (alk. paper); 0821852825 (alk. paper)Tema(s): Spaces of constant curvature | Geometry, Riemannian | Riemannian manifolds | Symmetric spaces | Differential geometry -- Research exposition (monographs, survey articles) | Differential geometry -- Global differential geometry -- Methods of Riemannian geometry, including PDE methods; curvature restrictions | Differential geometry -- Global differential geometry -- Homogeneous manifolds | Differential geometry -- Global differential geometry -- Symmetric spaces | Differential geometry -- Global differential geometry -- Lorentz manifolds, manifolds with indefinite metrics | Group theory and generalizations -- Representation theory of groups -- Group rings of finite groups and their modules | Topological groups, Lie groups -- Compact groups -- Compact groups | Algebraic geometry -- Algebraic groups -- Classical groups (geometric aspects) | Nonassociative rings and algebras -- Lie algebras and Lie superalgebras -- Lie algebras of linear algebraic groups | Group theory and generalizations -- Abstract finite groups -- None of the above, but in this sectionOtra clasificación: 53-02 | 53C21 | 53C30 | 53C35 | 53C50 | 20C05 | 22C05 | 14L35 | 17B45 | 20D99 | 53-02 (53C30)Affine differential geometryRiemannian curvatureFlat Riemannian manifoldsRepresentations of finite groupsVincent's work on the spherical space form problemThe classification of fixed point free groupsThe solution to the spherical space form problemRiemann symmetric spacesSpace forms of irreducible symmetric spacesLocally symmetric spaces of non-negative curvatureSpaces of constant curvatureLocally isotropic manifolds.
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Incluye referencias bibliográficas e índice.
Affine differential geometry -- Riemannian curvature -- Flat Riemannian manifolds -- Representations of finite groups -- Vincent's work on the spherical space form problem -- The classification of fixed point free groups -- The solution to the spherical space form problem -- Riemann symmetric spaces -- Space forms of irreducible symmetric spaces -- Locally symmetric spaces of non-negative curvature -- Spaces of constant curvature -- Locally isotropic manifolds.
MR, 2011j:53001
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