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Reilly-type inequality for the Φ-Laplace operator on semislant submanifolds of Sasakian space forms

Reilly-type inequality for the Φ-Laplace operator on semislant submanifolds of Sasakian space forms

Abstract This paper aims to establish 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 semislant submanifolds in a Sasakian space form <mml:math …