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  Energy inequalities for isolated systems and hypersurfaces moving by their curvature

Huisken, G., & Ilmanen, T. (2002). Energy inequalities for isolated systems and hypersurfaces moving by their curvature. In N. T. Bishop, & S. D. Maharaj (Eds.), Proceedings of the 16th International Conference on General Relativity and Gravitation (pp. 162-173). New Jersey u.a.: World Scientific.

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Item Permalink: https://hdl.handle.net/11858/00-001M-0000-0013-54B1-F Version Permalink: https://hdl.handle.net/11858/00-001M-0000-0013-54B2-D
Genre: Conference Paper

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 Creators:
Huisken, Gerhard1, Author           
Ilmanen, Tom, Author
Affiliations:
1Geometric Analysis and Gravitation, AEI-Golm, MPI for Gravitational Physics, Max Planck Society, ou_24012              

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 Abstract: The total energy of an isolated gravitating system in General Relativity is described by a geometric invariant of asymptotically flat Riemannian 3--manifolds. One--parameter families of two-dimensional hypersurfaces foliating such a manifold and obeying natural curvature conditions can be used to encode and study geometrical and physical properties of the 3--manifold such as mass, quasi-local mass, the center of mass and energy inequalities. The article describes recent results on Penrose inequalities, inverse mean curvature flow, constant mean curvature surfaces and their interconnections.

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Language(s): eng - English
 Dates: 2002
 Publication Status: Issued
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 Rev. Type: -
 Identifiers: eDoc: 3115
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Title: 16th International Conference on General Relativity and Gravitation
Place of Event: Durban, South Africa
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Title: Proceedings of the 16th International Conference on General Relativity and Gravitation
Source Genre: Proceedings
 Creator(s):
Bishop, Nigel T., Editor
Maharaj, Sunil D., Editor
Affiliations:
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Publ. Info: New Jersey u.a. : World Scientific
Pages: - Volume / Issue: - Sequence Number: - Start / End Page: 162 - 173 Identifier: -