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K-cowaist of manifolds with boundary
[K-cowaist des variétés à bord]
Christian Bär1  ; Bernhard Hanke2
1 Universität Potsdam, Institut für Mathematik, 14476 Potsdam, Germany
2 Universität Augsburg, Institut für Mathematik, 86135 Augsburg, Germany
Comptes Rendus. Mathématique, Volume 362 (2024), pp. 1349-1356.

Nous étendons l’inégalité de K-cowaist aux opérateurs de Dirac généralisés au sens de Gromov et Lawson et étudions les applications aux variétés à bord.

We extend the K-cowaist inequality to generalized Dirac operators in the sense of Gromov and Lawson and study applications to manifolds with boundary.

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DOI : 10.5802/crmath.646
Classification : 53C21, 53C23, 53C27, 58J20
Keywords: Manifolds with boundary, lower scalar curvature bounds, lower mean curvature bounds, Atiyah–Patodi–Singer index formula, $K$-cowaist, $\omega $-cowaist
Mot clés : Variétés à bord, minorations de la courbure scalaire, minorations de la courbure moyenne, le théorème de l’indice d’Atiyah–Patodi–Singer, $K$-cowaist, $\omega $-cowaist

Christian Bär 1 ; Bernhard Hanke 2

1 Universität Potsdam, Institut für Mathematik, 14476 Potsdam, Germany
2 Universität Augsburg, Institut für Mathematik, 86135 Augsburg, Germany
Licence : CC-BY 4.0
Droits d'auteur : Les auteurs conservent leurs droits 
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     title = {\protect\emph{K}-cowaist of manifolds with boundary},
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}
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Christian Bär; Bernhard Hanke. K-cowaist of manifolds with boundary. Comptes Rendus. Mathématique, Volume 362 (2024), pp. 1349-1356. doi : 10.5802/crmath.646. https://comptes-rendus.academie-sciences.fr/mathematique/articles/10.5802/crmath.646/

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