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

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

JOURNAL=Frontiers in Physics

VOLUME=10

YEAR=2022

URL=https://www.frontiersin.org/journals/physics/articles/10.3389/fphy.2022.870119

DOI=10.3389/fphy.2022.870119

ISSN=2296-424X

ABSTRACT=<p>This study attempts to establish new upper bounds on the mean curvature and constant sectional curvature of the first positive eigenvalue of the <italic>ψ</italic> − Laplacian operator on Riemannian manifolds. Various approaches are being used to find the first eigenvalue for the <italic>ψ</italic> − Laplacian operator on closed oriented bi-slant submanifolds in a Sasakian space form. We extend different Reilly-like inequalities to the <italic>ψ</italic> − 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.</p>