[Non-existence de remplissages spinoriels satisfaisant la condition d’énergie dominante]
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.
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@article{CRMATH_2022__360_G9_1049_0,
author = {Raulot, Simon},
title = {Nonexistence of {DEC} spin fill-ins},
journal = {Comptes Rendus. Math\'ematique},
pages = {1049--1054},
publisher = {Acad\'emie des sciences, Paris},
volume = {360},
number = {G9},
year = {2022},
doi = {10.5802/crmath.366},
language = {en},
url = {http://www.numdam.org/articles/10.5802/crmath.366/}
}
TY - JOUR AU - Raulot, Simon TI - Nonexistence of DEC spin fill-ins JO - Comptes Rendus. Mathématique PY - 2022 SP - 1049 EP - 1054 VL - 360 IS - G9 PB - Académie des sciences, Paris UR - http://www.numdam.org/articles/10.5802/crmath.366/ DO - 10.5802/crmath.366 LA - en ID - CRMATH_2022__360_G9_1049_0 ER -
Raulot, Simon. Nonexistence of DEC spin fill-ins. Comptes Rendus. Mathématique, Tome 360 (2022) no. G9, pp. 1049-1054. doi : 10.5802/crmath.366. http://www.numdam.org/articles/10.5802/crmath.366/
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