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Spaces of constant curvature /

Guardado en:
Autor Principal: Wolf, Joseph Albert, 1936-
Formato: Libro
Idioma:English
Publicado: Providence, R.I. : AMS Chelsea Pub., c2011.
Edición:6th ed.
Materias:
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 section.
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Tabla de Contenidos:
  • 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.

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