Estimation of sharp geometric inequality in Dα-homothetically deformed Kenmotsu manifolds

• Autores: Mohd Danish Siddiqi, Aliya Naaz Siddiqui, Ali H. Hakami, M. Hasan
• Localización: Cubo: A Mathematical Journal, ISSN 0716-7776, ISSN-e 0719-0646, Vol. 25, Nº. 3, 2023, págs. 349-361
• Idioma: inglés
• DOI: 10.56754/0719-0646.2503.349
• Enlaces
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• Resumen
  • español

    Resumen En este artículo estudiamos la variedad de Kenmotsu cuando se aplica a una deformación Dα-homotética. Luego, dada una subvariedad en una variedad de Kenmotsu Dα-homotéticamente deformada, derivamos la desigualdad de Wintgen generalizada. Adicionalmente, encontramos esta desigualdad para subvariedades tales como oblicuas, invariantes y anti-invariantes en el mismo espacio ambiente.

  • English

    Abstract In this article, we investigate the Kenmotsu manifold when applied to a Dα-homothetic deformation. Then, given a submanifold in a Dα-homothetically deformed Kenmotsu manifold, we derive the generalized Wintgen inequality. Additionally, we find this inequality for submanifolds such as slant, invariant, and anti-invariant in the same ambient space.

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