| 一类具有平行平均曲率和有限全曲率的完备子流形 |
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| 引用本文： | 王一令.一类具有平行平均曲率和有限全曲率的完备子流形[J].数学学报,2002,45(4):719-730. |
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| 作者姓名： | 王一令 |
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| 作者单位： | 华东师范大学数学系,上海,200062 |
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| 基金项目： | 上海市重点学科建设基金资助项目 |
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| 摘 要： | 本文把Berard P.,do Carmo M.,Santos W.在1998年所得的结果,分别推广到局部对称的Cartan-Hadamard流形中具有常平均曲率和有限全曲率的完备超曲面,以及球面上具有平行平均曲率和有限全曲率的完备子流形.
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| 关 键 词： | 局部对称 无迹第二基本形式 有限全曲率 |
| 文章编号： | 0583-1431(2002)04-0719-12 |
| 修稿时间： | 2000年2月1日 |
Some Complete Submanifolds with Parallel Mean Curvature and Finite Total Curvature |
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| Yi Ling WANG.Some Complete Submanifolds with Parallel Mean Curvature and Finite Total Curvature[J].Acta Mathematica Sinica,2002,45(4):719-730. |
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| Authors: | Yi Ling WANG |
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| Institution: | Yi Ling WANG(Department of Mathematics, East China Normal University, Shanghai 200062, P. R. China) (E-mail: ylwang@math. ecnu. edu. cn) |
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| Abstract: | In this paper, we advanced the result obtained by Berard P., do Carmo M., Santos W. to the complete non-compact orientable hypersurface in a locally symmetric Riemannian manifold with constant mean curvature and finite total curvature, and also to the complete submanifold in a sphere with parallel mean curvature and finite total curvature. |
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| Keywords: | locally symmetric Traceless second fundamental form Finite total curvature |
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