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Comptes Rendus Mathématique
Volume 347, n° 19-20
pages 1197-1200 (octobre 2009)
Doi : 10.1016/j.crma.2009.09.012
Received : 19 June 2009 ;  accepted : 2 September 2009
Une nouvelle caractérisation des sphères géodésiques dans les espaces modèles
A new characterization of geodesic spheres in space forms

Julien Roth
Laboratoire d’analyse et de mathématiques appliquées, université Paris-Est, 5, boulevard Descartes-Champs-sur-Marne, 77454 Marne-la-Vallée cedex 2, France 


Nous montrons qu’une hypersurface compacte, immergée dans l’espace hyperbolique ou l’hémisphère ouvert, de courbure moyenne constante et dont la courbure scalaire est presque constante est une sphère géodésique. Pour citer cet article : J. Roth, C. R. Acad. Sci. Paris, Ser. I 347 (2009).

The full text of this article is available in PDF format.

We show that a compact immersed hypersurface of hyperbolic space or an open half-sphere with constant mean curvature and almost constant scalar curvature is a geodesic sphere. To cite this article: J. Roth, C. R. Acad. Sci. Paris, Ser. I 347 (2009).

The full text of this article is available in PDF format.

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