HOMOGENEOUS RIEMANNIAN MANIFOLDS WITH EINSTEIN METRICS

E. D. Rodionov

Key words: Riemannian manifolds, homogeneous spaces,
Einstein metrics.

1991 Math. Subject Classification: 53C20, 53C25, 53C30.

Abstract: Homogeneous Einstein manifolds $(M=G/H,\rho)$ which have
some restrictions either on the algebraic structure of $G/H$, or on the
dimension of $G/H$, or on the class of $G$ --- invariant Riemannian
metrics of $G/H$ are studied in this paper.