Metrics with prescribed Ricci curvature on homogeneous spaces

DOI10.1016/j.geomphys.2016.04.003zbMath1341.53080arXiv1504.01498OpenAlexW2242892063MaRDI QIDQ295774

Artem Pulemotov

Publication date: 13 June 2016

Published in: Journal of Geometry and Physics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1504.01498

zbMATH Keywords

Ricci curvaturehomogeneous spaceprescribed curvature

Mathematics Subject Classification ID

Differential geometry of homogeneous manifolds (53C30) Global Riemannian geometry, including pinching (53C20)

Related Items (11)

Prescribing Ricci curvature on homogeneous spaces ⋮ Prescribed diagonal Schouten tensor in locally conformally flat manifolds ⋮ Group-invariant solutions for the Ricci curvature equation and the Einstein equation ⋮ Local stability of Einstein metrics under the Ricci iteration ⋮ Ricci iteration on homogeneous spaces ⋮ The prescribed Ricci curvature problem for naturally reductive metrics on compact Lie groups ⋮ Prescribed Schouten tensor in locally conformally flat manifolds ⋮ On the Ricci iteration for homogeneous metrics on spheres and projective spaces ⋮ The Dirichlet problem for the prescribed Ricci curvature equation on cohomogeneity one manifolds ⋮ Maxima of curvature functionals and the prescribed Ricci curvature problem on homogeneous spaces ⋮ Prescribing Ricci curvature on a product of spheres

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