论文标题
在部分均匀的椭圆度和完整的形式指标上，有规定的曲率函数
On the partial uniform ellipticity and complete conformal metrics with prescribed curvature functions on manifolds with boundary
论文作者
论文摘要
我们考虑的问题是找到具有爱因斯坦张量和更一般修改的Schouten张量的完全曲率功能的完整保形度量的问题。为了实现这一目标，我们揭示了一系列完全非线性方程的代数结构。正如拓扑障碍所显示的那样，我们的方法是合适而精致的。最后，我们通过确认关键假设来讨论Hessian方程和Weingarten方程。
We consider the problem of finding complete conformal metrics with prescribed curvature functions of the Einstein tensor and of more general modified Schouten tensors. To achieve this, we reveal an algebraic structure of a wide class of fully nonlinear equations. Our method is appropriate and delicate as shown by a topological obstruction. Finally, we discuss Hessian equations and Weingarten equations by confirming a key assumption.
