| 具有Ricci曲率拼挤的极小子流形的F-调和映射 |
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| 引用本文： | 侯晓阳.具有Ricci曲率拼挤的极小子流形的F-调和映射[J].阜阳师范学院学报(自然科学版),2014(1):23-25,41. |
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| 作者姓名： | 侯晓阳 |
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| 作者单位： | 温州大学城市学院,浙江温州325035 |
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| 摘 要： | 讨论了具有Ricci曲率拼挤的子流形的F-调和映照的稳定性,得到球面中的极小子流形和任何紧致黎曼流形之间的稳定F-调和映照必为常值映射的一个充分必要条件,改进并推广了前人相应的部分结果。
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| 关 键 词： | F-调和映照 子流形 稳定性 Ricci曲率 |
F-harmonic maps for minimal submanifolds with positive Ricci curvature |
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| HOU Xiao-yang.F-harmonic maps for minimal submanifolds with positive Ricci curvature[J].Journal of Fuyang Teachers College:Natural Science,2014(1):23-25,41. |
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| Authors: | HOU Xiao-yang |
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| Institution: | HOU Xiao-yang ( City College, Wenzhou University, Wenzhou Zhejiang 325035, China) |
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| Abstract: | The stability of F-harmonic maps for submanifolds with positive Ricci curvature is studied, and we have obtained a necessary and sufficient condition that F-harmonic maps between minimal submanifolds in a Sphere and any compact Riemannian manifold must be a constant map,which improves and extends partly the previous corresponding results. |
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| Keywords: | F-harmonic maps submanifolds stability Ricci curvature |
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