Some Homogeneous Einstein Manifolds

1 August 1970

journal article
research article
Published by Cambridge University Press (CUP) in Nagoya Mathematical Journal

Vol. 39, 81-106
https://doi.org/10.1017/s0027763000013702

Abstract

Let G be a connected Lie group and H a closed subgroup with Lie algebra such that in the Lie algebra g of G there exists a subspace m with (subspace direct sum) and In this case the corresponding manifold M = G/H is called a reductive homogeneous space and (g,) (or (G,H)) a reductive pair. In this paper we shall show how to construct invariant pseudo-Riemannian connections on suitable reductive homogeneous spaces M which make M into an Einstein manifold.

Keywords

This publication has 5 references indexed in Scilit:

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