A classification theorem for hypersurfaces of Minkowski space

• Jintang Li ^[1]
  1. [1] Xiamen University

     Xiamen University

     China

     
• Localización: Annali della Scuola Normale Superiore di Pisa. Classe di scienze, ISSN 0391-173X, Vol. 14, Nº 1, 2015, págs. 221-231
• Idioma: inglés
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• Resumen

  • Let Mn be a compact hypersurface of a Minkowski space (Vn+1, F).

    In this paper, using the Gauss formula of the Chern connection for Finsler submanifolds, we prove that if the second mean curvature H2 of M is constant and the norm square S of the second fundamental form of M satisfies S  n(n−1) n−2 H2, then M with the induced metric is isometric to the standard Euclidean sphere.

    This generalizes the result of [2] from the Euclidean to the Minkowski space.