Frontiers in Physics (May 2022)

Estimation of Eigenvalues for the ψ-Laplace Operator on Bi-Slant Submanifolds of Sasakian Space Forms

  • Ali H. Alkhaldi,
  • Meraj Ali Khan,
  • Mohd. Aquib,
  • Lamia Saeed Alqahtani

DOI
https://doi.org/10.3389/fphy.2022.870119
Journal volume & issue
Vol. 10

Abstract

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This study attempts to establish new upper bounds on the mean curvature and constant sectional curvature of the first positive eigenvalue of the ψ − Laplacian operator on Riemannian manifolds. Various approaches are being used to find the first eigenvalue for the ψ − Laplacian operator on closed oriented bi-slant submanifolds in a Sasakian space form. We extend different Reilly-like inequalities to the ψ − Laplacian on bi-slant submanifolds in a unit sphere depending on our results for the Laplacian operator. The conclusion of this study considers some special cases as well.

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