This article is cited in 1 paper

Righteous isometries of weakly symmetric spaces

O. S. Yakimova

M. V. Lomonosov Moscow State University

Abstract: 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.

UDC: 512.81

MSC: Primary 53C30, 53C35; Secondary 14M17

Received: 22.02.2001

DOI: 10.4213/sm624

 English version: Sbornik: Mathematics, 2002, 193:1, 143–156

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