Holomorphic triples and the prescribed curvature problem on S2

被引：0
|
作者：
Goncalves, Alexandre C. [1 ]
机构：
[1] Univ Sao Paulo, FFCLRP, Dept Computacao & Matemat, Av Bandeirantes 3900, BR-14040901 Ribeirao Preto, SP, Brazil
来源：
COMMUNICATIONS IN ANALYSIS AND GEOMETRY | 2016年 / 24卷 / 03期
关键词：
holomorphic triples; conformal curvature equations; co-homology classes; CONFORMAL DEFORMATION; RIEMANN SURFACE; METRICS; EXISTENCE; MANIFOLDS; EQUATION;
D O I：
10.4310/CAG.2016.v24.n3.a5
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
We prove new results OIL existence of solutions for the prescribed gaussian curvature problem on the euclidean sphere S-2. Those results are achieved by relating this problem with the holornorphic triplex theory on liiemann surfaces. We think this approach might be applied to study some other semi-linear elliptic equations of 2nd order on the sphere.
引用
收藏
页码：559 / 591
页数：33
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