摘要
研究由仿射平均曲率支配的严格凸超曲面的发展运动.在假定仿射平均曲率流存在并且曲面保持严格凸的条件下,通过对曲面支撑函数的计算,给出了高斯曲率的发展方程.
In this paper,we consider the evolution of strictly convex hypersurfaces by their affine mean curvature.Assuming that the flow smoothly exists and strict convexity is preserved by the flow,we give the evolution equation of the Guass curvature using support function.
出处
《应用泛函分析学报》
CSCD
2012年第2期132-134,共3页
Acta Analysis Functionalis Applicata
基金
国家自然科学基金(11026121)
关键词
四阶抛物方程
仿射平均曲率流
仿射极大曲面
parabolic equation of the fourth order
affine maximal surface
affine mean curvature flow
