Nonexistence of DEC spin fill-ins

Simon Raulot

doi:10.5802/crmath.366

Physique mathématique

Nonexistence of DEC spin fill-ins
[Non-existence de remplissages spinoriels satisfaisant la condition d’énergie dominante]

Simon Raulot ¹

¹ Laboratoire 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.

Comptes Rendus. Mathématique, Volume 360 (2022), pp. 1049-1054.

Résumé
Abstract

Dans cette note, on montre qu’une variété riemannienne fermée munie d’une structure spin n’admet pas de remplissage spinoriel satisfaisant la condition d’énergie dominante (DEC) si une certaine fonction, généralisant la courbure moyenne, est suffisamment grande.

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.

Reçu le : 2022-04-05
Accepté le : 2022-04-15
Publié le : 2022-09-29

DOI : 10.5802/crmath.366

Affiliations des auteurs :

Simon Raulot ¹

¹ Laboratoire 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.

Licence :

CC-BY 4.0

Droits d'auteur : Les auteurs conservent leurs droits

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     title = {Nonexistence of {DEC} spin fill-ins},
     journal = {Comptes Rendus. Math\'ematique},
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     year = {2022},
     doi = {10.5802/crmath.366},
     language = {en},
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Simon Raulot. Nonexistence of DEC spin fill-ins. Comptes Rendus. Mathématique, Volume 360 (2022), pp. 1049-1054. doi : 10.5802/crmath.366. https://comptes-rendus.academie-sciences.fr/mathematique/articles/10.5802/crmath.366/

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