The Riemannian product structures of spacelike hypersurfaces with constant k-th mean curvature in the de Sitter spaces |
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| Authors: | Jiancheng Liu Yaowen Gao |
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| Affiliation: | College of Mathematics and Information Science, Northwest Normal University, Lanzhou 730070, China |
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| Abstract: | In this paper, we investigate complete spacelike hypersurfaces in the de Sitter space  with constant k-th mean curvature and two distinct principal curvatures one of which is simple. We obtain some characterizations of the Riemannian product H1(c1)×Sn−1(c2) or Hn−1(c1)×S1(c2) in the de Sitter space  . |
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| Keywords: | Riemannian product structure Spacelike hypersurface de Sitter space k-th mean curvature |
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