Geodesic
Vanishing theorems for Killing vector fields on complete hypersurfaces in the hyperbolic space
Guangyue Huang1 ; Hongjuan Li1
1College of Mathematics and Information Science Henan Normal University Xinxiang 453007, P.R. China
Colloquium Mathematicum, Tome 145 (2016) no. 1, pp. 99-105

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DOI

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.
DOI : 10.4064/cm6531-9-2015
Keywords: study vanishing theorems killing vector fields complete stable hypersurfaces hyperbolic space mathbb derive vanishing theorems killing vector fields bounded norm terms bottom spectrum laplace operator

Guangyue Huang  1   ; Hongjuan Li  1

1 College of Mathematics and Information Science Henan Normal University Xinxiang 453007, P.R. China 
Guangyue Huang; Hongjuan Li. Vanishing theorems for Killing vector fields on complete hypersurfaces in the hyperbolic space. Colloquium Mathematicum, Tome 145 (2016) no. 1, pp. 99-105. doi: 10.4064/cm6531-9-2015
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