• Eigenvalue estimates for submanifolds with bounded $f$ -mean curvature

• # Fulltext

https://www.ias.ac.in/article/fulltext/pmsc/127/02/0375-0381

• # Keywords

Eigenvalue estimates; submanifolds; weighted manifolds; $f$ -mean curvature

• # Abstract

In this paper, we obtain an extrinsic low bound to the first non-zero eigenvalue of the $f$ -Laplacian on complete noncompact submanifolds of the weighted Riemannian manifold ($H^{m}(−1), e^{−f} dv$) with respect to the f -mean curvature. In particular, our results generalize those of Cheung and Leung in $\it{Math}. \bf{Z. 236}$ (2001) 525–530.

• # Author Affiliations

1. College of Mathematics and Information Science, Henan Normal University, Xinxiang 453007, People’s Republic of China
2. Henan Engineering Laboratory for Big Data Statistical Analysis and Optimal Control, Xinxiang 453007, People’s Republic of China

• # Proceedings – Mathematical Sciences

Volume 132, 2022
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• # Editorial Note on Continuous Article Publication

Posted on July 25, 2019

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