论文标题
高斯图像问题的平滑解决方案
Smooth solutions to the Gauss image problem
论文作者
论文摘要
在本文中,我们研究了高斯图像问题,这是凸几何形状中Aleksandrov问题的概括。通过考虑涉及高斯曲率以及正常向量和径向向量的功能的几何流量,我们可以获得解决此问题的平滑溶液。
In this paper we study the the Gauss image problem, which is a generalization of the Aleksandrov problem in convex geometry. By considering a geometric flow involving Gauss curvature and functions of normal vectors and radial vectors, we obtain the existence of smooth solutions to this problem.