The prescribed Ricci curvature problem for naturally reductive metrics on compact Lie groups

DOI10.1016/j.difgeo.2021.101794zbMath1477.53056arXiv2001.09441OpenAlexW3179360466WikidataQ115354519 ScholiaQ115354519MaRDI QIDQ1979410

Artem Pulemotov, Romina M. Arroyo, Wolfgang Ziller

Publication date: 2 September 2021

Published in: Differential Geometry and its Applications (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2001.09441

zbMATH Keywords

compact Lie groupleft-invariant metricprescribed Ricci curvature

Mathematics Subject Classification ID

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

Related Items (1)

Prescribing Ricci curvature on homogeneous spaces

Cites Work

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• Metrics with prescribed Ricci curvature on homogeneous spaces
• Spectral isolation of naturally reductive metrics on simple Lie groups
• The Dirichlet problem for the prescribed Ricci curvature equation on cohomogeneity one manifolds
• Uniqueness and non-existence of metrics with prescribed Ricci curvature
• Correction to: The geometry and structure of isotropy irreducible homogeneous spaces
• On isotropy irreducible Riemannian manifolds
• Existence of metrics with prescribed Ricci curvature: Local theory
• Maxima of curvature functionals and the prescribed Ricci curvature problem on homogeneous spaces
• Naturally reductive metrics and Einstein metrics on compact Lie groups
• The prescribed Ricci curvature problem on three‐dimensional unimodular Lie groups
• The Prescribed Ricci Curvature Problem for Homogeneous Metrics
• Homogeneous metrics with prescribed Ricci curvature on spaces with non-maximal isotropy

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