Hou, Zhong Hua
Professor Supervisor of Doctorate Candidates Supervisor of Master's Candidates
Gender:Male
Alma Mater:日本东京工业大学
Degree:Doctoral Degree
School/Department:数学科学学院
Discipline:Pure Mathematics
E-Mail:zhonghua@dlut.edu.cn
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Indexed by:期刊论文
Date of Publication:2010-11-01
Journal:JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS
Included Journals:SCIE、Scopus
Volume:371
Issue:1
Page Number:25-40
ISSN No.:0022-247X
Key Words:Lorentzian surface; Parallel mean curvature vector; Marginally trapped surface; Pseudo-Euclidean space
Abstract: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.