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:2016-02-01
Journal:TAIWANESE JOURNAL OF MATHEMATICS
Included Journals:SCIE
Volume:20
Issue:1
Page Number:205-226
ISSN No.:1027-5487
Key Words:Non-negative Gaussian curvature; Parallel mean curvature; Product spaces
Abstract:Let M-n(c) be an n-dimensional space form with constant sectional curvature c. Alencar-do Carmo-Tribuzy [5] classified all parallel mean curvature (ab-brev. PMC) surfaces with non-negative Gaussian curvature K in M-n(c) x R with c < 0. Later on, Fetcu-Rosenberg [28] generalized their results for c not equal 0. However, the classification to PMC surfaces in M-n(c) x R with K equivalent to 0 is still open. In this paper, we give a complete classification to the PMC surfaces in M-n(c) R with K equivalent to 0 whose tangent plane spans the constant angle with factor R.