Brown-York mass and positive scalar curvature I: First eigenvalue problem and its applications

DOI10.1090/proc/16105OpenAlexW2809064008WikidataQ114094150 ScholiaQ114094150MaRDI QIDQ5049332

Wei Yuan

Publication date: 11 November 2022

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

Full work available at URL: https://arxiv.org/abs/1806.07798

zbMATH Keywords

scalar curvaturepositive mass theoremfirst eigenvaluevacuum static spaceBrown-York mass

Mathematics Subject Classification ID

Global Riemannian geometry, including pinching (53C20) Rigidity results (53C24) Methods of global Riemannian geometry, including PDE methods; curvature restrictions (53C21)

Related Items (1)

Geometry of static perfect fluid space-time

Cites Work

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• Nonexistence of multiple black holes in asymptotically Euclidean static vacuum space-time
• On the uniqueness of AdS space-time in higher dimensions
• Uniqueness of the de Sitter spacetime among static vacua with positive cosmological constant
• The Yamabe problem
• A note on Fischer-Marsden’s conjecture

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