摘要
本文考查光滑黎曼流形 ( Mn ,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 .
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).
出处
《信阳师范学院学报（自然科学版）》
CAS
2003年第2期146-149,共4页
Journal of Xinyang Normal University(Natural Science Edition)
基金
Supported by NNSF(1 9771 0 48) and the Mid-Young Main Teacherof Anhui Province(JW990 1 5 5 )
