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论文类型：期刊论文

发表时间：2017-01-01

发表刊物：BULLETIN MATHEMATIQUE DE LA SOCIETE DES SCIENCES MATHEMATIQUES DE ROUMANIE

收录刊物：SCIE

卷号：60

期号：1

页面范围：33-49

ISSN号：1220-3874

关键字：Lorentzian warped product; warping function; complete hyper surface; higher order mean curvature; spacelike slice

摘要：In this paper, we apply several forms of generalized maximum principles to study the uniqueness of complete spacelike hypersurfaces immersed in Lorentzian warped products. First, we consider the cases of ambient space with vanish f', then obtain some uniqueness results of constant k-th mean curvature. Afterwards, we obtain the sign relationship between the support function with the derivative of warping function. By using this result, under some suitable restriction on the higher order mean curvature, we establish the uniqueness results of Lorentzian warped product -R x (f) M-n with non-vanish f'. Furthermore, applications to such spaces are given.