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| 常数量曲率黎曼度量之共形形变 | |
| 引用本文： | 赵培标. 常数量曲率黎曼度量之共形形变[J]. 信阳师范学院学报(自然科学版), 2003, 16(2): 146-149 |
| 作者姓名： | 赵培标 |
| 作者单位： | 南京理工大学,应用数学系,江苏,南京,210094 |
| 基金项目： | Supported by NNSF(1 9771 0 48) and the Mid-Young Main Teacherof Anhui Province(JW990 1 5 5 ) |
| 摘 要： | 本文考查光滑黎曼流形(M^n,g)(n≥2)的共形形变．证明了如下结论：存在共形于度量g的黎曼度量g^-使得g^-的曲率R^-等于一个事先给定的函数K． |
| 关 键 词： | 光滑黎曼流形 黎曼度量 共形形变 常数量曲率 椭圆方程 上解 微分几何 |
Conformal deformation of a Riemannian metric to constant scalar curvature |
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| ZHAO Pei-biao. Conformal deformation of a Riemannian metric to constant scalar curvature[J]. Journal of Xinyang Teachers College(Natural Science Edition), 2003, 16(2): 146-149 | |
| Authors: | ZHAO Pei-biao |
| Abstract: | This paper deals with the conformal deformation of the smooth Riemannian manifold(Mn,g)(n≥2).It is proved,in some case,there exists a Riemannian metric g which is conformal to g such that the scalar curvature R of g is equal to K(K is a given function). |
| Keywords: | conformal deformation elliptic equation upper solution |
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