Some Eigenvalues Estimate for the ϕ-Laplace Operator on Slant Submanifolds of Sasakian Space Forms. (13th October 2021)

• Record Type: Journal Article
• Authors: Li, Yanlin; Ali, Akram; Mofarreh, Fatemah; Abolarinwa, Abimbola; Ali, Rifaqat
• Other Names: Ali Umair Academic Editor.
• Is Part Of: Journal of function spaces. Volume 2021(2021)
• Publication Date: 2021-10-13
• Subjects: Function spaces -- Periodicals; 515.7305
• DOI: 10.1155/2021/6195939
• Languages: English
• ISSNs: 2314-8896

Abstract

Abstract : This paper is aimed at establishing new upper bounds for the first positive eigenvalue of the ϕ -Laplacian operator on Riemannian manifolds in terms of mean curvature and constant sectional curvature. The first eigenvalue for the ϕ -Laplacian operator on closed oriented m -dimensional slant submanifolds in a Sasakian space form M ~ 2 k + 1 ε is estimated in various ways. Several Reilly-like inequalities are generalized from our findings for Laplacian to the ϕ -Laplacian on slant submanifold in a sphere S 2 n + 1 with ε = 1 and ϕ = 2 .