| 具有平行正则平均曲率向量的稳定子流形 |
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| 引用本文： | 吴岚.具有平行正则平均曲率向量的稳定子流形[J].河南科学,1993(Z1). |
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| 作者姓名： | 吴岚 |
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| 作者单位： | 郑州大学数学系 郑州 |
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| 基金项目： | Supported by the youth Foundations of Henan Scientific Committee. |
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| 摘 要： | B·Y·Chen在1973年分类了欧氏空间中紧致稳定超曲面。本文考虑“平行正则平均曲率向量”概念,它在超曲面时自然成立。用此概念,我们成功地把B.Y.Chen关于超曲面的上述结果推广到子流形。
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| 关 键 词： | 稳定子流形 平行正则平均曲率向量 超球 |
ON STATIONARY SUBMANIFOLDS WITH PARALLEL NORMALIZED MEAN CURVATURE VECTOR |
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| Wu Lan.ON STATIONARY SUBMANIFOLDS WITH PARALLEL NORMALIZED MEAN CURVATURE VECTOR[J].Henan Science,1993(Z1). |
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| Authors: | Wu Lan |
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| Institution: | Wu Lan Department of mathematics,Zhengzhou University,Zhengzhou 450052 |
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| Abstract: | B. Y. Chen classified compact stationary hypersurfaces in Euclidean spece in 1973. In this paper, we consider concept" parallel normalized mean curvature vector" which holds in case of hypersurfaces. By help of this concept,we successfully generalize B. Y. Chen's results about hypersurfaces above to submanifolds. |
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| Keywords: | Stationary submanifolds Parallel normalized mean curvature vector Hypersphere |
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