An Obata-type theorem on compact Einstein manifolds with boundary

DOI10.1007/s10711-021-00598-yzbMath1469.53088OpenAlexW3129152966MaRDI QIDQ2039291

Kazuo Akutagawa

Publication date: 2 July 2021

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

Full work available at URL: https://doi.org/10.1007/s10711-021-00598-y

zbMATH Keywords

conformal geometryEinstein metricsconstant scalar curvaturerelative Yamabe constant

Mathematics Subject Classification ID

Special Riemannian manifolds (Einstein, Sasakian, etc.) (53C25) Methods of global Riemannian geometry, including PDE methods; curvature restrictions (53C21) Conformal structures on manifolds (53C18)

Related Items (2)

Non-Einstein relative Yamabe metrics ⋮ Decompositions of the space of Riemannian metrics on a compact manifold with boundary

Cites Work

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• Problèmes de Neumann non linéaires sur les variétés riemanniennes
• Manifolds with positive curvature
• The Yamabe problem on manifolds with boundary
• The relative Yamabe invariant
• An existence theorem for the Yamabe problem on manifolds with boundary
• Non-existence of Poincaré-Einstein manifolds with prescribed conformal infinity
• The conjectures on conformal transformations of Riemannian manifolds
• Certain conditions for a Riemannian manifold to be isometric with a sphere
• Uniqueness theorems on conformal deformation of metrics, sobolev inequalities, and an eigenvalue estimate
• Some regularity theorems in riemannian geometry
• Elliptic Partial Differential Equations of Second Order
• On Frankel’s Theorem
• Critical points of the total scalar curvature plus total mean curvature functional
• Complete Riemannian Manifolds and Some Vector Fields

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