| 拟常曲率黎曼流形的紧致极小子流形 |
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| 引用本文： | 向修栋. 拟常曲率黎曼流形的紧致极小子流形[J]. 中国石油大学学报(自然科学版), 1997, 0(2) |
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| 作者姓名： | 向修栋 |
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| 作者单位： | 石油大学数理系 |
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| 摘 要： | 研究了拟常曲率黎曼流形中的紧致极小子流形问题，给出了Ｍｎ是全测地子流形的截面曲率不等式估计，推广了Ｓ．Ｔ．Ｙａｕ研究的结果，并导出了有关数量曲率和Ｒｉｃｃ曲率的结论
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| 关 键 词： | 拟常曲率黎曼流空间；全测地的黎曼子流形 |
COMPACT MINIMAL SUBMANIFOLDS OF RIEMANNIAN MANIFOLD WITH QUSI CONSTANT CURVATURE |
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| Xiang Xiudong. COMPACT MINIMAL SUBMANIFOLDS OF RIEMANNIAN MANIFOLD WITH QUSI CONSTANT CURVATURE[J]. Journal of China University of Petroleum (Edition of Natural Sciences), 1997, 0(2) |
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| Authors: | Xiang Xiudong |
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| Abstract: | Many questions of compact minimal submanifolds in Riemannian manifold with qusi constant curvature are studied. Some inequalities of sectional curvature to improve a S.T.Yau's conclusion are given. Many results of scalar curvature and Ricci curvature are proved. |
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| Keywords: | Qusi Riemannian space of constant curvature Total geodesic riemannia submanifold |
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