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论文类型：期刊论文

发表时间：2010-11-01

发表刊物：JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS

收录刊物：SCIE、Scopus

卷号：371

期号：1

页面范围：25-40

ISSN号：0022-247X

关键字：Lorentzian surface; Parallel mean curvature vector; Marginally trapped surface; Pseudo-Euclidean space

摘要：Spatial surfaces with parallel mean curvature vector in pseudo-Euclidean spaces of arbitrary dimension and index were classified by B.Y. Chen. In this work, we give a complete classification of Lorentzian surfaces with parallel mean curvature vector in pseudo-Euclidean spaces of arbitrary dimension and index. Consequently, the problem to classify all the surfaces with parallel mean curvature vector in pseudo-Euclidean spaces has been solved. (C) 2010 Elsevier Inc. All rights reserved.