Lightlike Geometry of Leaves in Indefinite Kenmotsu Manifolds

• Fortuné Massamba ^[1]
  1. [1] University of Botswana

     University of Botswana

     Botsuana

     
• Localización: Cubo: A Mathematical Journal, ISSN 0716-7776, ISSN-e 0719-0646, Vol. 13, Nº. 3, 2011, págs. 69-89
• Idioma: inglés
• DOI: 10.4067/S0719-06462011000300005
• Enlaces
  • Texto completo
• Resumen
  • español

    En este trabajo se estudian algunos aspectos de la geometría de las hojas de distribuciones integrables de las hipersuperficies luminosas en variedades de Kenmotsu indefinidas, tangentes a la estructura de un campo vectorial. Se obtienen algunos teoremas sobre el campo de vectores paralelo, distribución de Killing y geodesbilidad de hipersuperficies liminosas. Se dan algunos teoremas de caracterización de las hojas de las distribuciones integrables. Se demuestra que existe una distribución, subconjunto de la distribución de la pantalla, en la que, bajo la condición de integrabilidad, cualquier contacto con la hoja umbilical es una esfera extrónseca.

  • English

    In this paper, we study some aspects of the geometry of leaves of integrable distributions of lightlike hypersurfaces in indefinite Kenmotsu manifolds, tangent to the structure vector field. Theorems on parallel vector field, Killing distribution, geodesibility of lightlike hypersurfaces are obtained. Some characterization Theorems of leaves of integrable distributions are given. We prove that there exists a distribution, subset of the screen distribution, in which, under the integrability condition, any totally contact umbilical leaf is an extrinsic sphere.

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