Progress on homogeneous Einstein manifolds and some open probrems

zbMath1406.53051arXiv1605.05886MaRDI QIDQ2829372

Andreas Arvanitoyeorgos

Publication date: 27 October 2016

Full work available at URL: https://arxiv.org/abs/1605.05886

zbMATH Keywords

Gröbner basisStiefel manifoldhomogeneous spaceEinstein metricgeneralized Wallach spacealgebraic system of equationsgeneralized flag manifoldisotropy representation

Mathematics Subject Classification ID

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

Related Items (8)

The Dirichlet problem for Einstein metrics on cohomogeneity one manifolds ⋮ Ricci flow on certain homogeneous spaces ⋮ Homogeneous Einstein metrics on Stiefel manifolds associated to flag manifolds with two isotropy summands ⋮ Non naturally reductive Einstein metrics on the orthogonal group via real flag manifolds ⋮ Invariant Einstein metrics on \(\text{SU}(n)\) and complex Stiefel manifolds ⋮ Ricci iteration on homogeneous spaces ⋮ Equigeodesics on some classes of homogeneous spaces ⋮ Maxima of curvature functionals and the prescribed Ricci curvature problem on homogeneous spaces

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