Quasi bi-slant submersions in contact geometry

• Autores: Rajendra Prasad, Mehmet Akif Akyol, Sushil Kumar, Punit Kumar Singh
• Localización: Cubo: A Mathematical Journal, ISSN 0716-7776, ISSN-e 0719-0646, Vol. 24, Nº. 1, 2022, págs. 1-20
• Idioma: inglés
• DOI: 10.4067/S0719-06462022000100001
• Enlaces
  • Texto completo
• Resumen
  • español

    RESUMEN El objetivo de este artículo es introducir el concepto de sub-mersiones cuasi bi-inclinadas desde variedades casi contacto métricas hacia variedades Riemannianas, como una generalización de submersiones semi-inclinadas y hemi-inclinadas. Principalmente nos enfocamos en submersiones cuasi bi-inclinadas desde variedades cosimplécticas. Damos algunos ejemplos no triviales y estudiamos la geometría de hojas de distribuciones que están involucradas en la definición de la sumersión. Más aún, encontramos algunas condiciones para que estas submersiones sean integrables y totalmente geodésicas.

  • English

    ABSTRACT The aim of the paper is to introduce the concept of quasi bi-slant submersions from almost contact metric manifolds onto Riemannian manifolds as a generalization of semi-slant and hemi-slant submersions. We mainly focus on quasi bi-slant submersions from cosymplectic manifolds. We give some non-trivial examples and study the geometry of leaves of distributions which are involved in the definition of the sub-mersion. Moreover, we find some conditions for such sub-mersions to be integrable and totally geodesic.

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