An invariant related to the existence of conformally compact Einstein fillings

DOI10.1090/tran/8308zbMath1479.53062arXiv1801.04474OpenAlexW3103008680MaRDI QIDQ3388497

Qing Han, Matthew J. Gursky, Stephan Stolz

Publication date: 5 May 2021

Published in: Transactions of the American Mathematical Society (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1801.04474

zbMATH Keywords

conformally compactYamabe invariantconformal infinityfillablecompact spin manifold

Mathematics Subject Classification ID

Applications of differential geometry to physics (53Z05) Special Riemannian manifolds (Einstein, Sasakian, etc.) (53C25) Spin and Spin({}^c) geometry (53C27) Specialized structures on manifolds (spin manifolds, framed manifolds, etc.) (57R15) Conformal structures on manifolds (53C18)

Related Items (5)

On conformally compact Einstein manifolds ⋮ Regularity of viscosity solutions of the σk$\sigma _k$‐Loewner–Nirenberg problem ⋮ A remark on the rigidity of Poincaré-Einstein manifolds ⋮ Dirac operators on foliations with invariant transverse measures ⋮ On uniqueness and existence of conformally compact Einstein metrics with homogeneous conformal infinity

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