| 非负曲率完备2维流形上的共形Gauss曲率方程 |
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| 引用本文： | 张宗劳,陆征一.非负曲率完备2维流形上的共形Gauss曲率方程[J].云南大学学报(自然科学版),2009,31(3):217-221. |
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| 作者姓名： | 张宗劳 陆征一 |
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| 作者单位： | 温州大学, 数学与信息科学学院, 浙江 温州, 325035 |
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| 摘 要： | 研究具有非负Gauss曲率的2维非紧完备黎曼流形上的共形Gauss曲率方程,证明了共形Gauss曲率方程的一般解的存在性与径向对称解的存在性的等价性,得到了涉及共形Gauss曲率方程的径向对称解在无穷远处增长率的一个结果.
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| 关 键 词： | 2维完备流形 共形形变 Gauss曲率方程 |
| 收稿时间： | 2008-5-13 |
Conformal Gaussian curvature equations on the 2-dimensional complete manifolds with nonnegative curvatures |
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| ZHANG Zong-lao,LU Zheng-yi.Conformal Gaussian curvature equations on the 2-dimensional complete manifolds with nonnegative curvatures[J].Journal of Yunnan University(Natural Sciences),2009,31(3):217-221. |
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| Authors: | ZHANG Zong-lao LU Zheng-yi |
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| Institution: | School of Mathematics and Information Science, Wenzhou University, Wenzhou 325035, China |
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| Abstract: | The conformal Gaussian curvature equation on the 2-dimensional noncompact complete Riemannian manifolds with nonnegative Gaussian curvatures is investigated,the equivalence between the existence of general solutions and that of the radially symmetric solutions is proved,and a result dealing with the growth rate at infinity of the radially symmetric solutions of the conformal Gaussian curvature equation is obtained. |
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