On the first eigenvalue of spacelike hypersurfaces in Lorentzian space
Wu, Bing Ye
Archivum Mathematicum, Tome 042 (2006), p. 233-238 / Harvested from Czech Digital Mathematics Library
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In this paper we obtain a lower bound for the first Dirichlet eigenvalue of complete spacelike hypersurfaces in Lorentzian space in terms of mean curvature and the square length of the second fundamental form. This estimate is sharp for totally umbilical hyperbolic spaces in Lorentzian space. We also get a sufficient condition for spacelike hypersurface to have zero first eigenvalue.

Publié le : 2006-01-01
Classification:  53C40,  53C50,  58J50 
@article{108001,
     author = {Bing Ye Wu},
     title = {On the first eigenvalue of spacelike hypersurfaces in Lorentzian space},
     journal = {Archivum Mathematicum},
     volume = {042},
     year = {2006},
     pages = {233-238},
     zbl = {1164.53373},
     mrnumber = {2260381},
     language = {en},
     url = {http://dml.mathdoc.fr/item/108001}
}

Wu, Bing Ye. On the first eigenvalue of spacelike hypersurfaces in Lorentzian space. Archivum Mathematicum, Tome 042 (2006) pp. 233-238. http://gdmltest.u-ga.fr/item/108001/

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