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Some Homogeneous Einstein Manifolds

Published online by Cambridge University Press:  22 January 2016

Arthur A. Sagle
Arthur A. Sagle*
Affiliation:
University of Minnesota
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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.

Type
Research Article
Information
Nagoya Mathematical Journal , Volume 39 , August 1970 , pp. 81 - 106
Copyright
Copyright © Editorial Board of Nagoya Mathematical Journal 1970

References

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