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

页码：559 / 591

页数：33

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