| 子流形共形不变量 |
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| 引用本文： | 李光汉,吴传喜.子流形共形不变量[J].湖北大学学报(自然科学版),2000,22(3):222-228. |
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| 作者姓名： | 李光汉 吴传喜 |
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| 作者单位： | 湖北大学数学与计算机科学学院,湖北武汉 |
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| 基金项目： | 中国科学院资助项目,湖北省武汉市青年科技"晨光计划"项目,19771030,,, |
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| 摘 要： | 讨论了共形等价流形中子流形间的关系,推广了ＨｓｉｕｎｇＣ．Ｃ．和ＬｅｖｋｏＪ．Ｊ．关于欧氏空间的子流形共形不变量,得到了任意Ｒｉｅｍａｎｎ流形的子流形共形不变量。
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| 关 键 词： | 子流形 共形不变量 平均曲率 Riemann流形 |
| 修稿时间： | : |
Conformal invariants of submanifolds |
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| Li Guanghan,Wu Chuanxi.Conformal invariants of submanifolds[J].Journal of Hubei University(Natural Science Edition),2000,22(3):222-228. |
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| Authors: | Li Guanghan Wu Chuanxi |
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| Abstract: | Let (N- n p,)be the Riemanian manifold which is conformally equivalent to (N- n p,g).And let M be the n dimensional compact immersed submanifold.The relationship between M as the submanifold of (N- n p,g)and M as the submanifold of (N - n p,) is studied.So important conformal invariants of submani folds of any Riemanian manifold are obtained. The results generalized these of E nclidean space, which were obtained by Hsiung C C and Levko J J. |
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| Keywords: | submanifold conformal invariant mean curvature |
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