Eigenvalue estimates for submanifolds in Hadamard manifolds and product manifolds $N\times\mathbb{R}$

Jing Mao; Rong-Qiang Tu; Kai Zeng

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arXiv · 1805.09565

Eigenvalue estimates for submanifolds in Hadamard manifolds and product manifolds $N\times\mathbb{R}$

Jing Mao·Rong-Qiang Tu·Kai Zeng

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Abstract

In this paper, we investigate submanifolds with locally bounded mean curvature in Hadamard manifolds, product manifolds $N\times\mathbb{R}$, submanifolds with bounded $\varphi$-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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BibTeX RIS

Jing Mao, Rong-Qiang Tu, Kai Zeng. 2018-05-24. Eigenvalue estimates for submanifolds in Hadamard manifolds and product manifolds $N\times\mathbb{R}$. https://arxiv.org/abs/1805.09565

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