数学物理学报(英文版) ›› 1997, Vol. 17 ›› Issue (2): 129-142.
沈一兵, 盛卫民
Shen Yibing, Sheng Weimin
摘要: In this paper a flow of convex hypersurfaces in the Euclidean space by the linear combination of the mean curvature and the n-th root of the Gauss-Kronecker curvature is considererd. It is proved that such deforming convex hypersurfaces converge to a round sphere in the Huisken's sense.