Add to ORKGBack in 1985, Wang and Ziller obtained a complete classification of all homogeneous spaces of compact simple Lie groups on which the standard or Killing metric is Einstein. The list consists, beyond isotropy irreducible spaces, of 12 infinite families (two of them are actually conceptual constructions) and 22 isolated examples. We study in this paper the nature of each of these Einstein metrics as a critical point of the scalar curvature functional.Comment: 34 pages, 10 tables, 2 figures. Final version accepted in Math.
summary:The author obtains the classification of all invariant Einstein metrics on the following hom...
summary:Some new examples of standard homogeneous Einstein manifolds with semisimple transitive grou...
summary:Some new examples of standard homogeneous Einstein manifolds with semisimple transitive grou...
For any $G$-invariant metric on a compact homogeneous space $M=G/K$, we give a formula for the Lichn...
We show that homogeneous Einstein metrics on Euclidean spaces are Einstein solvmanifolds, using that...
AbstractSome new examples of homogeneous Einstein metrics are constructed using the stability of non...
A Riemannian manifold (M, g) is called Einstein, if there is some # ? R such that Ricg = #g, where R...
A Riemannian manifold (M, g) is called Einstein, if there is some # ? R such that Ricg = #g, where R...
A Riemannian manifold (M, g) is called Einstein, if there is some # ? R such that Ricg = #g, where R...
summary:The author obtains the classification of all invariant Einstein metrics on the following hom...
summary:The author obtains the classification of all invariant Einstein metrics on the following hom...
summary:A Stiefel manifold $V_k\bold R^n$ is the set of orthonormal $k$-frames in $\bold R^n$, and i...
AbstractWe study the existence of projectable G-invariant Einstein metrics on the total space of G-e...
summary:A Stiefel manifold $V_k\bold R^n$ is the set of orthonormal $k$-frames in $\bold R^n$, and i...
We consider homogeneous Einstein metrics on symmetric spaces and we describe their geometry. For com...
summary:The author obtains the classification of all invariant Einstein metrics on the following hom...
summary:Some new examples of standard homogeneous Einstein manifolds with semisimple transitive grou...
summary:Some new examples of standard homogeneous Einstein manifolds with semisimple transitive grou...
For any $G$-invariant metric on a compact homogeneous space $M=G/K$, we give a formula for the Lichn...
We show that homogeneous Einstein metrics on Euclidean spaces are Einstein solvmanifolds, using that...
AbstractSome new examples of homogeneous Einstein metrics are constructed using the stability of non...
A Riemannian manifold (M, g) is called Einstein, if there is some # ? R such that Ricg = #g, where R...
A Riemannian manifold (M, g) is called Einstein, if there is some # ? R such that Ricg = #g, where R...
A Riemannian manifold (M, g) is called Einstein, if there is some # ? R such that Ricg = #g, where R...
summary:The author obtains the classification of all invariant Einstein metrics on the following hom...
summary:The author obtains the classification of all invariant Einstein metrics on the following hom...
summary:A Stiefel manifold $V_k\bold R^n$ is the set of orthonormal $k$-frames in $\bold R^n$, and i...
AbstractWe study the existence of projectable G-invariant Einstein metrics on the total space of G-e...
summary:A Stiefel manifold $V_k\bold R^n$ is the set of orthonormal $k$-frames in $\bold R^n$, and i...
We consider homogeneous Einstein metrics on symmetric spaces and we describe their geometry. For com...
summary:The author obtains the classification of all invariant Einstein metrics on the following hom...
summary:Some new examples of standard homogeneous Einstein manifolds with semisimple transitive grou...
summary:Some new examples of standard homogeneous Einstein manifolds with semisimple transitive grou...