Eigenvalue estimates for submanifolds with bounded $f$ -mean curvature
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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.
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Volume 132, 2022
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