Vanishing theorems for Killing vector fields on complete hypersurfaces in the hyperbolic space
Guangyue Huang ; Hongjuan Li
Colloquium Mathematicae, Tome 144 (2016), p. 99-105 / Harvested from The Polish Digital Mathematics Library
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We study vanishing theorems for Killing vector fields on complete stable hypersurfaces in a hyperbolic space ℍn+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.

Publié le : 2016-01-01
EUDML-ID : urn:eudml:doc:286384 
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     title = {Vanishing theorems for Killing vector fields on complete hypersurfaces in the hyperbolic space},
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     year = {2016},
     pages = {99-105},
     zbl = {06602772},
     language = {en},
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Guangyue Huang; Hongjuan Li. Vanishing theorems for Killing vector fields on complete hypersurfaces in the hyperbolic space. Colloquium Mathematicae, Tome 144 (2016) pp. 99-105. http://gdmltest.u-ga.fr/item/bwmeta1.element.bwnjournal-article-doi-10_4064-cm6531-9-2015/