Escobar-Yamabe compactifications for Poincaré-Einstein manifolds and rigidity theorems

DOI10.1016/j.aim.2018.11.005zbMath1460.53044arXiv1712.02540OpenAlexW2964031948WikidataQ125863615 ScholiaQ125863615MaRDI QIDQ1711906

Fang Wang, Xuezhang Chen, Mijia Lai

Publication date: 18 January 2019

Published in: Advances in Mathematics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1712.02540

zbMATH Keywords

rigidityYamabe constantPoincaré-Einstein manifold

Mathematics Subject Classification ID

Special Riemannian manifolds (Einstein, Sasakian, etc.) (53C25) Rigidity results (53C24) Extensions of spaces (compactifications, supercompactifications, completions, etc.) (54D35)

Related Items (10)

Scalar flat compactifications of Poincaré-Einstein manifolds and applications ⋮ A note on the compactness of Poincaré–Einstein manifolds ⋮ Compactness of conformally compact Einstein 4-manifolds. II ⋮ The mass of an asymptotically hyperbolic manifold with a non-compact boundary ⋮ Comparison theorems for GJMS operators ⋮ A remark on the rigidity of Poincaré-Einstein manifolds ⋮ Eigenvalue estimate of the Dirac operator and rigidity of Poincaré-Einstein metrics ⋮ The Han-Li conjecture in constant scalar curvature and constant boundary mean curvature problem on compact manifolds ⋮ On a sharp inequality relating Yamabe invariants on a Poincare-Einstein manifold ⋮ On uniqueness and existence of conformally compact Einstein metrics with homogeneous conformal infinity

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