Spaces of constant curvature
By: Joseph A. Wolf
Edition: 6th ed.
Publisher: AMS Chelsea Pub.
Published: 2011
Place of publication: Providence, R.I
Language: eng
Number of pages: 420
ISBN-13: 9780821852828
Subjects: Symmetric spaces; Topological groups, Lie groups -- Compact groups -- Compact groups; Riemannian manifolds; Spaces of constant curvature; Riemannian Geometry; Group theory and generalizations -- Abstract finite groups -- None of the above, but in this section; Differential geometry -- Research exposition (monographs, survey articles); Algebraic geometry -- Algebraic groups -- Classical groups (geometric aspects); Group theory and generalizations -- Representation theory of groups -- Group rings of finite groups and their modules; Nonassociative rings and algebras -- Lie algebras and Lie superalgebras -- Lie algebras of linear algebraic groups; Differential geometry -- Global differential geometry -- Symmetric spaces; Differential geometry -- Global differential geometry -- Methods of Riemannian geometry, including PDE methods; curvature restrictions; Differential geometry -- Global differential geometry -- Lorentz manifolds, manifolds with indefinite metrics; Differential geometry -- Global differential geometry -- Homogeneous manifolds
Notes: Includes bibliographical references and index.
Table of contents: title: Affine differential geometry; title: Riemannian curvature; title: Flat Riemannian manifolds; title: Representations of finite groups; title: Vincent's work on the spherical space form problem; title: The classification of fixed point free groups; title: The solution to the spherical space form problem; title: Rieman symmetric spaces; title: Space forms of irreducible symmetric spaces; title: Locally symmetric spaces of non-negative curvature; title: Spaces of constant curvature; title: Locally isotropic manifolds.