Bounds for Eigenvalues of q-Laplacian on Contact Submanifolds of Sasakian Space Forms Article Swipe

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Yanlin Li , Fatemah Mofarreh , Abimbola Abolarinwa , Norah Alshehri , Akram Ali ·

YOU? · · 2023 · Open Access · · DOI: https://doi.org/10.3390/math11234717 · OA: W4388857001

This study establishes new upper bounds for the mean curvature and constant sectional curvature on Riemannian manifolds for the first positive eigenvalue of the q-Laplacian. In particular, various estimates are provided for the first eigenvalue of the q-Laplace operator on closed orientated (l+1)-dimensional special contact slant submanifolds in a Sasakian space form, M˜2k+1(ϵ), with a constant ψ1-sectional curvature, ϵ. From our main results, we recovered the Reilly-type inequalities, which were proven before this study.