Remark on the limit case of positive mass theorem for manifolds with inner boundary

DOI10.1016/j.difgeo.2003.12.002zbMath1060.53056arXivmath/0305263OpenAlexW2064065495WikidataQ115358087 ScholiaQ115358087MaRDI QIDQ1877078

Eui Chul Kim

Publication date: 16 August 2004

Published in: Differential Geometry and its Applications (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/math/0305263

zbMATH Keywords

Dirac operatorpositive mass theoremharmonic spinors

Mathematics Subject Classification ID

Gravitational energy and conservation laws; groups of motions (83C40) Spin and Spin({}^c) geometry (53C27) Global differential geometry of Lorentz manifolds, manifolds with indefinite metrics (53C50)

Related Items (1)

Conformal positive mass theorems for asymptotically flat manifolds with inner boundary

Cites Work

• On Witten's proof of the positive energy theorem
• Proof of the positive mass theorem. II
• The positive mass theorem for black holes revisited
• A Penrose-like inequality for the mass of Riemannian asymptotically flat manifolds
• The inverse mean curvature flow and the Riemannian Penrose inequality
• A new proof of the positive energy theorem.
• Proof of the Riemannian Penrose inequality using the positive mass theorem.
• A local existence theorem for the Einstein--Dirac equation.
• Coordinate Invariance and Energy Expressions in General Relativity
• The mass of an asymptotically flat manifold
• Some remarks on the Hijazi inequality and generalizations of the Killing equation for spinors

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