Eigenvalue estimates for submanifolds with bounded f-mean curvature |
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| Authors: | GUANGYUE HUANG BINGQING MA |
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| Affiliation: | 1.College of Mathematics and Information Science,Henan Normal University,Xinxiang,People’s Republic of China;2.Henan Engineering Laboratory for Big Data Statistical Analysis and Optimal Control,Xinxiang,People’s Republic of China |
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| 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 Math. Z. 236 (2001) 525–530. |
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