【摘要】 对于完全图平均曲率流F/t=H,F(.,0)=F0,前人已做过深入的研究,在前人的基础上将该完全图平均曲率流推广,主要研究完全图平均曲率流F/t=g(t)H,F(.,0)=F0,其中g(t)为[0,∞)上的单调增函数,g(t)≥1,且g(t)在[0,∞)上一致有界.换句话说,完全图平均曲率流F/t=H,F(.,0)=F0只是完全图平均曲率流F/t=g(t)H,F(.,0)=F0里面"g(t)≡1"特殊情况.更多还原

【Abstract】 Some mathematians have studied the mean curvature evolution of entire graph F/t=H,F(.,0)=F0,in this article,we main studied its extending form F/t=H,F(.,0)=F0,while g(t) is a function on [0,∞),g(t)≥1,and g(t) is bounded,For another saying,the mean curvature evolution of entire graph F/t=H,F(.,0)=F0 is the special case "g(t)≡1"in mean curvature evolution of entire graph F/t=g(t)H,F(.,0)=F0.更多还原