A note on the nonexistence of spacelike hypersurfaces with polynomial volume growth immersed in a Lorentzian space form

de Lima, Henrique Fernandes

Archivum mathematicum, Tome 58 (2022) no. 3, pp. 169-175

Abstract (VO)

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].

Détail

DOI : 10.5817/AM2022-3-169

Classification : 53C42, 53C50
Keywords: Lorentzian space forms; complete spacelike hypersurfaces; polynomial volume growth; support functions

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