| RIGIDITY OF COMPACT MINIMAL SUBMANIFOLDS IN A LOCALLY SYMMETRIC AND CONFORMALLY FLAT RIEMANN MANIFOLD |
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| 引用本文： | 陈广华,徐森林.RIGIDITY OF COMPACT MINIMAL SUBMANIFOLDS IN A LOCALLY SYMMETRIC AND CONFORMALLY FLAT RIEMANN MANIFOLD[J].数学物理学报(B辑英文版),1996(1). |
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| 作者姓名： | 陈广华 徐森林 |
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| 摘 要： | ＲＩＧＩＤＩＴＹＯＦＣＯＭＰＡＣＴＭＩＮＩＭＡＬＳＵＢＭＡＮＩＦＯＬＤＳＩＮＡＬＯＣＡＬＬＹＳＹＭＭＥＴＲＩＣＡＮＤＣＯＮＦＯＲＭＡＬＬＹＦＬＡＴＲＩＥＭＡＮＮＭＡＮＩＦＯＬＤ（陈广华，徐森林）￥ＣｈｅｎＧｕａｎｇｈｕａＸｕＳｅｎｌｉｎ（Ｄｅｐｔ．ｏ...
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RIGIDITY OF COMPACT MINIMAL SUBMANIFOLDS IN A LOCALLY SYMMETRIC AND CONFORMALLY FLAT RIEMANN MANIFOLD |
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| Chen Guanghua Xu Senlin.RIGIDITY OF COMPACT MINIMAL SUBMANIFOLDS IN A LOCALLY SYMMETRIC AND CONFORMALLY FLAT RIEMANN MANIFOLD[J].Acta Mathematica Scientia,1996(1). |
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| Authors: | Chen Guanghua Xu Senlin |
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| Abstract: | The compact minimal submanifold in a locally symetric and conformally flat Riemann manifold is discussed in this paper.We get the Pinching constant for scalar curvature.The result of Li2]is generallied,but the method is completely different. Meanwhile,we get better conclusion than that of 3].We also research the Pinching problem for sectional curvature on compact minimal submanifolds in a unit sphere, partially improving the results of S.T.Yan4]. |
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| Keywords: | Locally symetric conformally flat minimal submanifold scalar curvature sectional curvature |
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