Some New Homogeneous Einstein Metrics on Symmetric Spaces

DOI10.1090/S0002-9947-96-01512-7zbMath0864.53035OpenAlexW1532281296MaRDI QIDQ4875763

Megan M. Kerr

Publication date: 17 June 1997

Published in: Transactions of the American Mathematical Society (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1090/s0002-9947-96-01512-7

zbMATH Keywords

symmetric spaceEinstein metrichomogeneous manifoldisotropy irreducible homogeneous space

Mathematics Subject Classification ID

Differential geometry of homogeneous manifolds (53C30) Special Riemannian manifolds (Einstein, Sasakian, etc.) (53C25) Differential geometry of symmetric spaces (53C35)

Related Items (19)

Homogeneous Einstein-like metrics on symmetric spaces ⋮ Invariant Einstein metrics on certain compact semisimple Lie groups ⋮ Homogeneous Einstein-Randers metrics on some Stiefel manifolds ⋮ Sp(3) structures on 14-dimensional manifolds ⋮ Equivariant formality of corank-one isotropy actions and products of rational spheres ⋮ Homogeneous Einstein metrics and butterflies ⋮ Einstein metrics on group manifolds and cosets ⋮ The complex geometry of two exceptional flag manifolds ⋮ Homogeneous Einstein-Randers metrics on symplectic groups ⋮ Complex Riemannian foliations of open Kähler manifolds ⋮ Spaces of Riemannian metrics ⋮ Geometry of homogeneous Riemannian manifolds ⋮ Low-dimensional homogeneous Einstein manifolds ⋮ On \(\delta \)-homogeneous Riemannian manifolds ⋮ The geometry of compact homogeneous spaces with two isotropy summands ⋮ Some Einstein-Randers metrics on homogeneous spaces ⋮ Some Einstein homogeneous Riemannian fibrations ⋮ On the topology of positively curved Bazaikin spaces ⋮ Classification of invariant Einstein metrics on certain compact homogeneous spaces

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• Existence and non-existence of homogeneous Einstein metrics
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• On interrelation between the problem of unique determination of a domain in \(\mathbb{R}^n\) and a problem of recovery of a locally Euclidean metric
• Einstein metrics on principal fibre bundles
• Naturally reductive metrics and Einstein metrics on compact Lie groups
• Quelques formules de variation pour une structure riemannienne

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