Estimates and Nonexistence of Solutions of the Scalar Curvature Equation on Noncompact Manifolds

Proceedings Mathematical Sciences

Zhang Zonglao¹ 

[1] Department of Mathematics, Wenzhou Normal College, Wenzhou, Zhejiang 000, People’s Republic of China$$

关键词: Complete manifold;    scalar curvature equation;    conformal metric.;   

DOI  :  

学科分类：数学（综合）

来源: Indian Academy of Sciences

【 摘 要 】

This paper is to study the conformal scalar curvature equation on complete noncompact Riemannian manifold of nonpositive curvature. We derive some estimates and properties of supersolutions of the scalar curvature equation, and obtain some nonexistence results for complete solutions of scalar curvature equation.

【 授权许可】

Unknown