A quasi-local mass for 2-spheres with negative Gauss curvature

DOI10.1007/s11425-008-0045-8zbMath1155.53329arXiv0711.3243OpenAlexW2012732848WikidataQ126045489 ScholiaQ126045489MaRDI QIDQ2519325

Xiao Zhang

Publication date: 26 January 2009

Published in: Science in China. Series A (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/0711.3243

zbMATH Keywords

positivitygeneral relativityquasi-local mass

Mathematics Subject Classification ID

Spin and Spin({}^c) geometry (53C27) Global differential geometry of Lorentz manifolds, manifolds with indefinite metrics (53C50) Spinor and twistor methods in general relativity and gravitational theory; Newman-Penrose formalism (83C60)

Related Items (3)

Quasi-local energy-momentum and angular momentum in general relativity ⋮ Lower bounds for the eigenvalues of the spin\(^{c}\) Dirac-Witten operator ⋮ Lower bounds for eigenvalues of the Dirac-Witten operator

Cites Work

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• Isometric embedding of the 2-sphere with non negative curvature in \(\mathbb{R}^ 3\)
• Some results on surface theory in the large
• A generalization of Liu-Yau's quasi-local mass
• Rigidity and convexity of hypersurfaces in spheres
• Positivity of Quasilocal Mass
• Positivity of quasi-local mass II

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