Classification of generalized Wallach spaces

DOI10.1007/s10711-015-0119-zzbMath1341.53079arXiv1411.3131OpenAlexW3100430809MaRDI QIDQ280133

Yurii Gennadyevich Nikonorov

Publication date: 29 April 2016

Published in: Geometriae Dedicata (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1411.3131

zbMATH Keywords

Riemannian metricRicci flowsymmetric spaceEinstein metricautomorphism of a Lie algebracompact homogeneous spacegeneralized Wallach spaceKilling form

Mathematics Subject Classification ID

Related Items (18)

The evolution of positively curved invariant Riemannian metrics on the Wallach spaces under the Ricci flow ⋮ On topological structure of some sets related to the normalized Ricci flow on generalized Wallach spaces ⋮ Non-naturally reductive Einstein metrics on \(\mathrm{Sp}(n)\) ⋮ Ricci flow on certain homogeneous spaces ⋮ Geodesics in generalized Wallach spaces ⋮ Non naturally reductive Einstein metrics on the orthogonal group via real flag manifolds ⋮ Diameter and Laplace eigenvalue estimates for compact homogeneous Riemannian manifolds ⋮ Compact simple Lie groups admitting left-invariant Einstein metrics that are not geodesic orbit ⋮ On the evolution of invariant Riemannian metrics on one class of generalized Wallach spaces under the influence of the normalized Ricci flow ⋮ Invariant Einstein metrics on generalized Wallach spaces ⋮ Correction to: ``Classification of generalized Wallach spaces ⋮ New non-naturally reductive Einstein metrics on exceptional simple Lie groups ⋮ Invariant Einstein metrics on Ledger-Obata spaces ⋮ Equigeodesics on some classes of homogeneous spaces ⋮ Maxima of curvature functionals and the prescribed Ricci curvature problem on homogeneous spaces ⋮ Invariant Ricci-flat metrics of cohomogeneity one with Wallach spaces as principal orbits ⋮ New Einstein metrics on \(E_7\) ⋮ Geodesic orbit Riemannian spaces with two isotropy summands. I

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