Initial Data Rigidity Results

We prove several rigidity results related to the spacetime positive mass theorem. A key step is to show that certain marginally outer trapped surfaces are weakly outermost. As a special case, our results include a rigidity result for Riemannian manifolds with a lower bound on their scalar curvature.

Detalles Bibliográficos
Autores principales: Eichmair, Michael, Galloway, Gregory J., Mendes, Abraão
Formato: Online Artículo Texto
Lenguaje:English
Publicado: Springer Berlin Heidelberg 2021
Materias:
Article
Acceso en línea:https://www.ncbi.nlm.nih.gov/pmc/articles/PMC8550767/
https://www.ncbi.nlm.nih.gov/pubmed/34720126
http://dx.doi.org/10.1007/s00220-021-04033-x
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author Eichmair, Michael
Galloway, Gregory J.
Mendes, Abraão
author_facet Eichmair, Michael
Galloway, Gregory J.
Mendes, Abraão
author_sort Eichmair, Michael
collection PubMed
description We prove several rigidity results related to the spacetime positive mass theorem. A key step is to show that certain marginally outer trapped surfaces are weakly outermost. As a special case, our results include a rigidity result for Riemannian manifolds with a lower bound on their scalar curvature.
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spelling pubmed-85507672021-10-29 Initial Data Rigidity Results Eichmair, Michael Galloway, Gregory J. Mendes, Abraão Commun Math Phys Article We prove several rigidity results related to the spacetime positive mass theorem. A key step is to show that certain marginally outer trapped surfaces are weakly outermost. As a special case, our results include a rigidity result for Riemannian manifolds with a lower bound on their scalar curvature. Springer Berlin Heidelberg 2021-02-27 2021 /pmc/articles/PMC8550767/ /pubmed/34720126 http://dx.doi.org/10.1007/s00220-021-04033-x Text en © The Author(s) 2021 https://creativecommons.org/licenses/by/4.0/Open AccessThis article is licensed under a Creative Commons Attribution 4.0 International License, which permits use, sharing, adaptation, distribution and reproduction in any medium or format, as long as you give appropriate credit to the original author(s) and the source, provide a link to the Creative Commons licence, and indicate if changes were made. The images or other third party material in this article are included in the article’s Creative Commons licence, unless indicated otherwise in a credit line to the material. If material is not included in the article’s Creative Commons licence and your intended use is not permitted by statutory regulation or exceeds the permitted use, you will need to obtain permission directly from the copyright holder. To view a copy of this licence, visit http://creativecommons.org/licenses/by/4.0/ (https://creativecommons.org/licenses/by/4.0/) .
spellingShingle Article
Eichmair, Michael
Galloway, Gregory J.
Mendes, Abraão
Initial Data Rigidity Results
title Initial Data Rigidity Results
title_full Initial Data Rigidity Results
title_fullStr Initial Data Rigidity Results
title_full_unstemmed Initial Data Rigidity Results
title_short Initial Data Rigidity Results
title_sort initial data rigidity results
topic Article
url https://www.ncbi.nlm.nih.gov/pmc/articles/PMC8550767/
https://www.ncbi.nlm.nih.gov/pubmed/34720126
http://dx.doi.org/10.1007/s00220-021-04033-x
work_keys_str_mv AT eichmairmichael initialdatarigidityresults
AT gallowaygregoryj initialdatarigidityresults
AT mendesabraao initialdatarigidityresults

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