Skip to main content
U.S. Department of Energy
Office of Scientific and Technical Information

Righteous isometries of weakly symmetric spaces

Journal Article · · Sbornik. Mathematics
 [1]
  1. M.V. Lomonosov Moscow State University, Moscow (Russian Federation)

The concept of a righteous diffeomorphism of a Riemannian manifold is introduced. A righteous diffeomorphism of a manifold M defines a weakly symmetric structure on M. For weakly symmetric Riemannian manifolds that are homogeneous spaces of semisimple Lie groups a complete classification of righteous diffeomorphisms (isometries) is obtained.

OSTI ID:
21205660
Journal Information:
Sbornik. Mathematics, Journal Name: Sbornik. Mathematics Journal Issue: 1 Vol. 193; ISSN 1064-5616
Country of Publication:
United States
Language:
English

Similar Records

Differential geometry, Lie groups, and symmetric spaces
Book · Sat Dec 31 23:00:00 EST 1977 · OSTI ID:6662393

Kahler structures on the tangent bundles of rank-one symmetric spaces
Journal Article · Sun Dec 30 23:00:00 EST 2001 · Sbornik. Mathematics · OSTI ID:21205646

Reduction of Einstein's equations for vacuum space-times with spacelike U(1) isometry groups
Journal Article · Fri Feb 28 23:00:00 EST 1986 · Ann. Phys. (N.Y.); (United States) · OSTI ID:5706659