Complete conformal metrics of negative Ricci curvature in open manifolds☆

作者：Chen, Li; He, Yan^*; Li, Mingming; Tu, Chengming

来源：Nonlinear Analysis-Theory Methods & Applications, 2023, 237: 113370.

DOI：10.1016/j.na.2023.113370

• The modified schouten tensor
• Negative curvature
• Hessian type equation

In this paper, we study the problem of finding complete conformal metrics determined by some symmetric function of the modified Schouten tensor in open manifolds. We prove the existence of such metrics by solving a class of fully nonlinear elliptic equations with the infinity Dirichlet boundary condition.

• 单位
  湖北大学