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The Minimal Submanifolds in a Locally Symmetric and Conformally Flat Riemannian Manifold

The Minimal Submanifolds in a Locally Symmetric and Conformally Flat Riemannian Manifold
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摘要 In this paper,we extend two important theorem in[1],[2] to the minimal submanifolds in a Locally symmetric and conformally flat Riemannian mainfold N^n+p.When N^n+p is a space S(1)^n+p of constant curvature,our theorems reduce to the theorems of [1],[2]. In this paper,we extend two important theorem in[1],[2]to the minimal submanifolds in a Locally symmetric and conformally flat Riemannian mainfold N^(+p).When N^(+p)is a space S_(1)^(+p) of constant curvature,our theorems reduce to the theorems of[1],[2].
作者 舒世昌
出处 《Chinese Quarterly Journal of Mathematics》 CSCD 1993年第4期71-76,共6页 数学季刊(英文版)
关键词 极小子流形 局部对称 共形平坦 黎曼流形 紧流形 会测地线 Locally symmetric conformally flat minimal submanifold
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