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论文类型：期刊论文

发表时间：2016-02-01

发表刊物：TAIWANESE JOURNAL OF MATHEMATICS

收录刊物：SCIE

卷号：20

期号：1

页面范围：205-226

ISSN号：1027-5487

关键字：Non-negative Gaussian curvature; Parallel mean curvature; Product spaces

摘要：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.