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On an inequality of Brendle in the hyperbolic space |
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| Authors: | Oussama Hijazi Sebastián Montiel Simon Raulot |
| Institution: | 1. Institut Élie-Cartan, Université de Lorraine, Nancy, B.P. 239, 54506 Vand?uvre-Lès-Nancy cedex, France;2. Departamento de Geometría y Topología, Universidad de Granada, 18071 Granada, Spain;3. Laboratoire de mathématiques Raphaël-Salem, UMR 6085 CNRS – Université de Rouen, avenue de l''Université, B.P. 12, Technopôle du Madrillet, 76801 Saint-Étienne-du-Rouvray, France |
| Abstract: | We give a spinorial proof of a Heintze–Karcher-type inequality in the hyperbolic space proved by Brendle 4]. The proof relies on a generalized Reilly formula on spinors recently obtained in 7]. |
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