Vanishing theorems for Killing vector fields on complete hypersurfaces in the hyperbolic space
Colloquium Mathematicae (2016)
- Volume: 145, Issue: 1, page 99-105
- ISSN: 0010-1354
Access Full Article
top
Abstract
topHow to cite
topGuangyue Huang, and Hongjuan Li. "Vanishing theorems for Killing vector fields on complete hypersurfaces in the hyperbolic space." Colloquium Mathematicae 145.1 (2016): 99-105. <http://eudml.org/doc/286384>.
@article{GuangyueHuang2016,
abstract = {We study vanishing theorems for Killing vector fields on complete stable hypersurfaces in a hyperbolic space $ℍ^\{n+1\}(-1)$. We derive vanishing theorems for Killing vector fields with bounded L²-norm in terms of the bottom of the spectrum of the Laplace operator.},
author = {Guangyue Huang, Hongjuan Li},
journal = {Colloquium Mathematicae},
keywords = {stability inequality; Killing vector field; hypersurface},
language = {eng},
number = {1},
pages = {99-105},
title = {Vanishing theorems for Killing vector fields on complete hypersurfaces in the hyperbolic space},
url = {http://eudml.org/doc/286384},
volume = {145},
year = {2016},
}
TY - JOUR
AU - Guangyue Huang
AU - Hongjuan Li
TI - Vanishing theorems for Killing vector fields on complete hypersurfaces in the hyperbolic space
JO - Colloquium Mathematicae
PY - 2016
VL - 145
IS - 1
SP - 99
EP - 105
AB - We study vanishing theorems for Killing vector fields on complete stable hypersurfaces in a hyperbolic space $ℍ^{n+1}(-1)$. We derive vanishing theorems for Killing vector fields with bounded L²-norm in terms of the bottom of the spectrum of the Laplace operator.
LA - eng
KW - stability inequality; Killing vector field; hypersurface
UR - http://eudml.org/doc/286384
ER -
NotesEmbed ?
topYou must be logged in to post comments.
To embed these notes on your page include the following JavaScript code on your page where you want the notes to appear.