Certain results for η-Ricci Solitons and Yamabe Solitons on quasi-Sasakian 3-Manifolds

• Autores: Sunil Kumar Yadav, Abhishek Kushwaha, Dhruwa Narain
• Localización: Cubo: A Mathematical Journal, ISSN 0716-7776, ISSN-e 0719-0646, Vol. 21, Nº. 2, 2019, págs. 77-98
• Idioma: español
• DOI: 10.4067/S0719-06462019000200077
• Enlaces
  • Texto completo
• Resumen
  • español

    RESUMEN Clasificamos 3-variedades cuasi-Sasakianas con solitones η-Ricci propios e investigamos sus propiedades geométricas. Ciertos resultados sobre el solitón de Yamabe en dichas variedades también se presentan. Finalmente, construimos un ejemplo de la no existencia de solitones η-Ricci propios en una 3-variedad cuasi-Sasakiana para ilustrar los resultados contenidos en el artículo.

  • English

    ABSTRACT We classify quasi-Sasakian 3-manifold with proper η-Ricci soliton and investigate its geometrical properties. Certain results of Yamabe soliton on such manifold are also presented. Finally, we construct an example of non-existence of proper η-Ricci soliton on 3-dimensional quasi-Sasakian manifold to illustrate the results obtained in previous section of the paper.

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