Gromov rigidity of bi-invariant metrics on Lie groups and homogeneous spaces

DOI10.3842/SIGMA.2020.068zbMath1445.53029arXiv2005.00161MaRDI QIDQ784869

Xianzhe Dai, Yukai Sun

Publication date: 3 August 2020

Published in: SIGMA. Symmetry, Integrability and Geometry: Methods and Applications (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2005.00161

zbMATH Keywords

homogeneous spacesLie groupsscalar curvatureextremal/rigid metrics

Mathematics Subject Classification ID

Differential geometry of homogeneous manifolds (53C30) Global Riemannian geometry, including pinching (53C20) Rigidity results (53C24)

Cites Work

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• Scalar curvature and asymptotic symmetric spaces
• On the variational stability of Kähler-Einstein metrics
• Existence and non-existence of homogeneous Einstein metrics
• On the structure of manifolds with positive scalar curvature
• Existence of incompressible minimal surfaces and the topology of three dimensional manifolds with non-negative scalar curvature
• Spin and scalar curvature in the presence of a fundamental group. I
• Curvatures of left invariant metrics on Lie groups
• Sharp estimates and the Dirac operator
• Scalar curvature estimates for compact symmetric spaces.
• The scalar curvature on totally geodesic fiberings
• Scalar curvature estimates by parallel alternating torsion
• Four Lectures on Scalar Curvature

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