Totally umbilical proper slant submanifolds of para-Kenmotsu manifold

• Autores: M.S. Siddesha, C.S. Bagewadi, D. Nirmala
• Localización: Cubo: A Mathematical Journal, ISSN 0716-7776, ISSN-e 0719-0646, Vol. 21, Nº. 2, 2019, págs. 41-49
• Idioma: inglés
• DOI: 10.4067/S0719-06462019000200041
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• Resumen
  • español

    RESUMEN En este paper estudiamos subvariedades inclinadas en variedades para-Kenmotsu. Demostramos que una subvariedad inclinada en una variedad para-Kenmotsu totalmente umbilical es invariante, o anti-invariante, o una subvariedad de dimensión 1, o el vector de curvatura media H de la subvariedad vive en el fibrado normal invariante.

  • English

    ABSTRACT In this paper, we study slant submanifolds of a para-Kenmotsu manifold. We prove that totally umbilical slant submanifold of a para-Kenmotsu manifold is either invariant or anti-invariant or dimension of submanifold is 1 or the mean curvature vector H of the submanifold lies in the invariant normal subbundle.

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