CONFORMAL METRICS WITH PRESCRIBED GAUSSIAN CURVATURE ON S2

被引：17

作者：

CHENG, KS ^{[1
]}

SMOLLER, JA ^{[1
]}

机构：

[1] UNIV MICHIGAN,DEPT MATH,ANN ARBOR,MI 48109

来源：

TRANSACTIONS OF THE AMERICAN MATHEMATICAL SOCIETY | 1993年 / 336卷 / 01期

关键词：

D O I：

10.2307/2154345

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

We consider on S2 the problem of which functions K can be the scalar curvature of a metric conformal to the standard metric on S2. We assume that K is a function of one variable, and we obtain a necessary and sufficient condition for the problem to be solvable. We also obtain several new sufficient conditions on k (which are easy to check), in order that the problem be solvable.

引用

页码：219 / 251

页数：33

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