Stability of compact symmetric spaces

DOI10.1007/s12220-021-00838-3zbMath1494.53070arXiv2012.07328OpenAlexW4210879361MaRDI QIDQ2117484

Gregor Weingart, Uwe Semmelmann

Publication date: 21 March 2022

Published in: The Journal of Geometric Analysis (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2012.07328

zbMATH Keywords

stabilitysymmetric spacesEinstein metrics

Mathematics Subject Classification ID

Special Riemannian manifolds (Einstein, Sasakian, etc.) (53C25) Spin and Spin({}^c) geometry (53C27) Differential geometry of symmetric spaces (53C35)

Related Items (4)

Homogeneous Einstein metrics and local maxima of the Hilbert action ⋮ Stability of the non-symmetric space \(\operatorname{E}_7 / \operatorname{PSO}(8)\) ⋮ Coindex and rigidity of Einstein metrics on homogeneous Gray manifolds ⋮ The stability of standard homogeneous Einstein manifolds

Cites Work

• Killing and conformal Killing tensors
• Linear stability of Perelman's \(\nu\)-entropy on symmetric spaces of compact type
• Rigidity and stability of Einstein metrics - The case of compact symmetric spaces
• The standard Laplace operator
• On the stability of Einstein manifolds
• On the linear stability of nearly Kähler 6-manifolds
• On the stability of Riemannian manifold with parallel spinors
• Stability of Riemannian manifolds with Killing spinors
• Équations différentielles caractéristiques de la sphère
• The octonions
• Radon transforms and spectral rigidity on the complex quadrics and the real Grassmannians of rank two.
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