Eigenvalue estimates for submanifolds in Hadamard manifolds and product manifolds N×ℝ

2018/05/24 by Mao, Jing, Tu, Rong-Qiang, Zeng, Kai
#53C40 #53C42 #58C40 #Differential Geometry (math.DG) #FOS: Mathematics

paper · doi:10.48550/arxiv.1805.09565

Abstract

In this paper, we investigate submanifolds with locally bounded mean curvature in Hadamard manifolds, product manifolds N×ℝ, submanifolds with bounded φ-mean curvature in the hyperbolic space, and successfully give lower bounds for the weighted fundamental tone and the first eigenvalue of the p-Laplacian.

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