齐次函数的一个仿射球定理
A PROPER AFFINE SPHERE THEOREM RELATED TO HOMOGENEOUS FUNCTIONS

本文研究了相关齐次函数的仿射球定理.利用Hopf极大值原理，对任意给定的带凹性条件的初等对称曲率问题，获得了此类仿射球定理.特别地，这也给出了Deicke齐次函数定理的一个新证明.
In this paper, we focus on the affine sphere theorem related to homogeneous function. Based on Hopf maximum principle, we obtain that the affine sphere theorem does hold for given elementary symmetric curvature problems under concavity conditions. In particular, it gives a new proof of Deicke's theorem on homogeneous functions