Non-degeneracy of Poincaré-Einstein four-manifolds satisfying a chiral curvature inequality

DOI10.1007/s12220-023-01306-wzbMath1520.53031arXiv2212.00526OpenAlexW4377028163MaRDI QIDQ6110394

Joel Fine

Publication date: 5 July 2023

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

Full work available at URL: https://arxiv.org/abs/2212.00526

zbMATH Keywords

asymptotically hyperbolic manifoldsPoincaré-Einstein metric

Mathematics Subject Classification ID

Special Riemannian manifolds (Einstein, Sasakian, etc.) (53C25) Methods of global Riemannian geometry, including PDE methods; curvature restrictions (53C21) Perturbations of PDEs on manifolds; asymptotics (58J37)

Cites Work

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• A gauge theoretic approach to Einstein 4-manifolds
• Asymptotically hyperbolic connections
• Elliptic theory of differential edge operators I
• Fredholm operators and Einstein metrics on conformally compact manifolds

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