Vanishing theorems for Killing vector fields on complete hypersurfaces in the hyperbolic space
Volume 145 / 2016
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.
