A+ CATEGORY SCIENTIFIC UNIT

Vanishing theorems for Killing vector fields on complete hypersurfaces in the hyperbolic space

Volume 145 / 2016

Guangyue Huang, Hongjuan Li Colloquium Mathematicum 145 (2016), 99-105 MSC: 53C21, 58C40. DOI: 10.4064/cm6531-9-2015 Published online: 22 April 2016

Abstract

We study vanishing theorems for Killing vector fields on complete stable hypersurfaces in a hyperbolic space $\mathbb {H}^{n+1}(-1)$. We derive vanishing theorems for Killing vector fields with bounded $L^2$-norm in terms of the bottom of the spectrum of the Laplace operator.

Authors

  • Guangyue HuangCollege of Mathematics and Information Science
    Henan Normal University
    Xinxiang 453007, P.R. China
    e-mail
  • Hongjuan LiCollege of Mathematics and Information Science
    Henan Normal University
    Xinxiang 453007, P.R. China
    e-mail

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