Hypersurfaces with prescribed curvatures in the de Sitter space

  • Ángela Roldán

    Universidad de Córdoba, Spain
Hypersurfaces with prescribed curvatures in the de Sitter space cover
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Abstract

In this paper, we establish a relationship between spacelike hypersurfaces in the de Sitter space and conformal metrics on the sphere . As a consequence of this relation and some deep results in conformal geometry, we classify spacelike hypersurfaces in satisfying certain global conditions and a very general Weingarten relation of elliptic type, where are its principal curvatures. Also, we particularize to some important cases as the th mean curvatures.

Cite this article

Ángela Roldán, Hypersurfaces with prescribed curvatures in the de Sitter space. Rev. Mat. Iberoam. 38 (2022), no. 1, pp. 269–294

DOI 10.4171/RMI/1279