| 拟常曲率空间的紧致极小子流形 |
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| 引用本文： | 舒世昌.拟常曲率空间的紧致极小子流形[J].陕西师范大学学报,1992(3). |
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| 作者姓名： | 舒世昌 |
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| 作者单位： | 陕西师大数学系 |
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| 摘 要： | 给出 QC 空间紧极小子流形全测地的截面曲率和数量曲率的 Pinching条件,推广了前人在常曲率空间的相应结果。即:k>(p—1)/((2p—1)或k>n/2(n+1)]时 M=S_((1))~n;R>n(n—1)—n/2—(1/p)]时,M=S_((1))~n.
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| 关 键 词： | 子流形 截面曲率 黎曼曲率张量 |
Compact minimal submanifolds in Ricmannian manifold of quasi constant curvature |
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| Shu Shichang.Compact minimal submanifolds in Ricmannian manifold of quasi constant curvature[J].Journal of Shaanxi Normal University: Nat Sci Ed,1992(3). |
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| Authors: | Shu Shichang |
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| Institution: | Department of Mathematics |
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| Abstract: | The pinching conditions of sectional curvature and scalar curvature are given when a compact minimal submanifold in a Riemannian manifold of quasi constant curvature is a totally geodesic submanifold.A wide use is made of the Theorems put forward by formev researchers on the space as a constant curvature space form,i.e.if k>(p-1)/(2p -1)or k>n/2(n+1)]then M=S~n(1);if R>n(n-1)-n/(2-1/p)then M=S~n(1). |
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| Keywords: | submanifold sectional survature Ricmannian curvature tensor |
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