Article

Access to the text (HTML) Access to the text (HTML)
PDF Access to the PDF text
Advertising


Access to the full text of this article requires a subscription.
  • If you are a subscriber, please sign in 'My Account' at the top right of the screen.

  • If you want to subscribe to this journal, see our rates

  • You can purchase this item in Pay Per ViewPay per View - FAQ : 30,00 € Taxes included to order
    Pages Iconography Videos Other
    4 0 0 0


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 

Résumé

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.
Abstract

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.


© 2009  Académie des sciences@@#104156@@
EM-CONSULTE.COM is registrered at the CNIL, déclaration n° 1286925.
As per the Law relating to information storage and personal integrity, you have the right to oppose (art 26 of that law), access (art 34 of that law) and rectify (art 36 of that law) your personal data. You may thus request that your data, should it be inaccurate, incomplete, unclear, outdated, not be used or stored, be corrected, clarified, updated or deleted.
Personal information regarding our website's visitors, including their identity, is confidential.
The owners of this website hereby guarantee to respect the legal confidentiality conditions, applicable in France, and not to disclose this data to third parties.
Close
Article Outline
You can move this window by clicking on the headline
@@#110903@@