Cubo (Dec 2023)

Estimation of sharp geometric inequality in \(D_{\alpha}\)-homothetically deformed Kenmotsu manifolds

  • Mohd Danish Siddiqi,
  • Aliya Naaz Siddiqui,
  • Ali H. Hakami,
  • M. Hasan

DOI
https://doi.org/10.56754/0719-0646.2503.349
Journal volume & issue
Vol. 25, no. 3
pp. 349 – 361

Abstract

Read online

In this article, we investigate the Kenmotsu manifold when applied to a \(D_{\alpha}\)-homothetic deformation. Then, given a submanifold in a \(D_{\alpha}\)-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.

Keywords