Nonexistence of DEC spin fill-ins
In this note, we show that a closed spin Riemannian manifold does not admit a spin fill-in satisfying the dominant energy condition (DEC) if a certain generalized mean curvature function is point-wise large.
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| Format: | Article |
| Language: | English |
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Académie des sciences
2022-09-01
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| Series: | Comptes Rendus. Mathématique |
| Online Access: | https://comptes-rendus.academie-sciences.fr/mathematique/articles/10.5802/crmath.366/ |
| _version_ | 1797651473760256000 |
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| author | Raulot, Simon |
| author_facet | Raulot, Simon |
| author_sort | Raulot, Simon |
| collection | DOAJ |
| description | In this note, we show that a closed spin Riemannian manifold does not admit a spin fill-in satisfying the dominant energy condition (DEC) if a certain generalized mean curvature function is point-wise large. |
| first_indexed | 2024-03-11T16:16:19Z |
| format | Article |
| id | doaj.art-701ea13c57954393b29eb92b39db3430 |
| institution | Directory Open Access Journal |
| issn | 1778-3569 |
| language | English |
| last_indexed | 2024-03-11T16:16:19Z |
| publishDate | 2022-09-01 |
| publisher | Académie des sciences |
| record_format | Article |
| series | Comptes Rendus. Mathématique |
| spelling | doaj.art-701ea13c57954393b29eb92b39db34302023-10-24T14:19:34ZengAcadémie des sciencesComptes Rendus. Mathématique1778-35692022-09-01360G91049105410.5802/crmath.36610.5802/crmath.366Nonexistence of DEC spin fill-insRaulot, Simon0Laboratoire de Mathématiques R. Salem UMR 6085 CNRS-Université de Rouen Avenue de l’Université, BP.12 Technopôle du Madrillet 76801 Saint-Étienne-du-Rouvray, France.In this note, we show that a closed spin Riemannian manifold does not admit a spin fill-in satisfying the dominant energy condition (DEC) if a certain generalized mean curvature function is point-wise large.https://comptes-rendus.academie-sciences.fr/mathematique/articles/10.5802/crmath.366/ |
| spellingShingle | Raulot, Simon Nonexistence of DEC spin fill-ins Comptes Rendus. Mathématique |
| title | Nonexistence of DEC spin fill-ins |
| title_full | Nonexistence of DEC spin fill-ins |
| title_fullStr | Nonexistence of DEC spin fill-ins |
| title_full_unstemmed | Nonexistence of DEC spin fill-ins |
| title_short | Nonexistence of DEC spin fill-ins |
| title_sort | nonexistence of dec spin fill ins |
| url | https://comptes-rendus.academie-sciences.fr/mathematique/articles/10.5802/crmath.366/ |
| work_keys_str_mv | AT raulotsimon nonexistenceofdecspinfillins |