Displaying similar documents to “Homogeneous Einstein metrics on Stiefel manifolds”

Einstein metrics on a class of five-dimensional homogeneous spaces

Eugene D. Rodionov (1991)

Commentationes Mathematicae Universitatis Carolinae

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We prove that there is exactly one homothety class of invariant Einstein metrics in each space S U ( 2 ) × S U ( 2 ) / S O ( 2 ) r ( r ∈ Q , | r | ≠ 1 ) defined below.

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.

Classification of 4 -dimensional homogeneous weakly Einstein manifolds

Teresa Arias-Marco, Oldřich Kowalski (2015)

Czechoslovak Mathematical Journal

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Y. Euh, J. Park and K. Sekigawa were the first authors who defined the concept of a weakly Einstein Riemannian manifold as a modification of that of an Einstein Riemannian manifold. The defining formula is expressed in terms of the Riemannian scalar invariants of degree two. This concept was inspired by that of a super-Einstein manifold introduced earlier by A. Gray and T. J. Willmore in the context of mean-value theorems in Riemannian geometry. The dimension 4 is the most interesting...

Symmetries and Kähler-Einstein metrics

Claudio Arezzo, Alessandro Ghigi (2005)

Bollettino dell'Unione Matematica Italiana

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We consider Fano manifolds M that admit a collection of finite automorphism groups G 1 , ... , G k , such that the quotients M / G i are smooth Fano manifolds possessing a Kähler-Einstein metric. Under some numerical and smoothness assumptions on the ramification divisors, we prove that M admits a Kähler-Einstein metric too.