The scalar curvature problem on the four dimensional half sphere

被引：14

作者：

Ben Ayed, M

El Mehdi, K

Ould Ahmedou, M

机构：

[1] Fac Sci Sfax, Dept Math, Sfax, Tunisia

[2] Univ Nouakchott, Fac Sci & Tech, Nouakchott, Mauritania

[3] Abdus Salam ICTP, Math Sect, I-34014 Trieste, Italy

[4] Univ Bonn, Inst Math, D-53115 Bonn, Germany

来源：

CALCULUS OF VARIATIONS AND PARTIAL DIFFERENTIAL EQUATIONS | 2005年 / 22卷 / 04期

关键词：

D O I：

10.1007/s00526-004-0285-6

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

In this paper, we consider the problem of prescribing the scalar curvature under minimal boundary conditions on the standard four dimensional half sphere. We provide an Euler-Hopf type criterion for a given function to be a scalar curvature to a metric conformal to the standard one. Our proof involves the study of critical points at infinity of the associated variational problem.

引用

页码：465 / 482

页数：18

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