A+ CATEGORY SCIENTIFIC UNIT

PDF files of articles are only available for institutions which have paid for the online version upon signing an Institutional User License.

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

Search for IMPAN publications

Query phrase too short. Type at least 4 characters.

Rewrite code from the image

Reload image

Reload image