Einstein metrics on a class of five-dimensional  homogeneous spaces

Eugene D. Rodionov

Displaying similar documents to “Einstein metrics on a class of five-dimensional homogeneous spaces”

Homogeneous Einstein metrics on Stiefel manifolds

Andreas Arvanitoyeorgos (1996)

Commentationes Mathematicae Universitatis Carolinae

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A Stiefel manifold $V_{k} 𝐑^{n}$ is the set of orthonormal $k$ -frames in $𝐑^{n}$ , and it is diffeomorphic to the homogeneous space $S O (n) / S O (n - k)$ . We study $S O (n)$ -invariant Einstein metrics on this space. We determine when the standard metric on $S O (n) / S O (n - k)$ is Einstein, and we give an explicit solution to the Einstein equation for the space $V_{2} 𝐑^{n}$ .

On a new family of homogeneous Einstein manifolds

Eugene D. Rodionov (1992)

Archivum Mathematicum

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We show that there exists exactly one homothety class of invariant Einstein metrics on each space ${[S U (2)]}^{S + 1} / T^{S}$ defined below.

Existence and non-existence of homogeneous Einstein metrics.

W. Ziller, McK.Y. Wang (1986)

Inventiones mathematicae

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Homogeneous Einstein metrics on flag manifolds.

Sakane, Y. (1999)

Lobachevskii Journal of Mathematics

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