一类曲率流发展的渐近状态  

Asymptotic behavior for one kind curvature flow

作　　者：蔡宝胜[1] 李光汉[1] 

机构地区：[1]湖北大学数学与计算机科学学院,湖北武汉430062

出　　处：《湖北大学学报（自然科学版）》2010年第3期245-250,共6页Journal of Hubei University：Natural Science

基　　金：湖北省教育厅资助项目(D200510005)资助

摘　　要：超曲面沿其法向分量按平均曲率大小的形变,已经得到了许多结论;在此基础上,考虑了超曲面沿其法向分量按平均曲率减去〈γ′(t),v〉大小的形变,得到了两个平行结论.The evolution of hypersurface moving by the mean curvature was studied,and many conclusions were obtained,and on the basis of thse conclusions,the evolution of hypersurface moving by the mean curvature minused an external force field,two paralled conclusions were gotten.

关 键 词：曲率流 渐近相似解 极大值原理 奇点 

分 类 号：O174.2[理学—数学]