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Keywords:
Lorentzian space forms; complete spacelike hypersurfaces; polynomial volume growth; support functions
Lorentzian space forms; complete spacelike hypersurfaces; polynomial volume growth; support functions
Summary:
We obtain nonexistence results concerning complete noncompact spacelike hypersurfaces with polynomial volume growth immersed in a Lorentzian space form, under the assumption that the support functions with respect to a fixed nonzero vector are linearly related. Our approach is based on a suitable maximum principle recently established by Alías, Caminha and do Nascimento [3].
References:
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