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The
Gauss–Bonnet–Chern mass of higher-codimension graphs
Alexandre de Sousa and Frederico Girão |
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Vol. 298 (2019), No. 1, 201–216
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DOI: 10.2140/pjm.2019.298.201
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Abstract |
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We give an explicit formula for the Gauss–Bonnet–Chern mass of an asymptotically flat graph of arbitrary codimension and use it to prove the positive mass theorem and the Penrose inequality for graphs with flat normal bundle. |
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Keywords
Gauss–Bonnet–Chern mass, higher-codimension asymptotically
flat graphs, positive mass theorem, Penrose inequality
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Mathematical Subject Classification 2010
Primary: 53C40, 53C80, 83C99
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Milestones
Received: 4 April 2017
Revised: 16 January 2018
Accepted: 13 May 2018
Published: 2 February 2019
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Authors |
| Alexandre de Sousa | |
| Instituto de Matemática Universidade Federal de Alagoas Maceió Brazil |
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| Frederico Girão | |
| Departamento de Matemática Universidade Federal do Ceará Fortaleza Brazil |
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