On totally umbilical submanifolds of a locally Minkowski manifold

• Autores: L. María Abatangelo
• Localización: Collectanea mathematica, ISSN 0010-0757, Vol. 43, Fasc. 2, 1992, págs. 151-175
• Idioma: inglés
• Títulos paralelos:
  • Subvariedades totalmente umbilicales de una variedad localmente de Minkowski
• Enlaces
  • Texto completo
• Resumen

  • We study totally-umbilical submanifolds of Finslerian manifolds. Any complete totally-umbilical real hypersurface (whose induced and intrinsic connections coincide) of a locally Minkowski manifold is shown to have diameter $\leq\pi/a_0$

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