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

    • Fulltext

       

        Click here to view fulltext PDF


      Permanent link:
      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

       

      GUANGYUE HUANG1 2 BINGQING MA1 2

      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
    • Dates

       
  • Proceedings – Mathematical Sciences | News

    • Editorial Note on Continuous Article Publication

      Posted on July 25, 2019

      Click here for Editorial Note on CAP Mode

© 2021-2022 Indian Academy of Sciences, Bengaluru.