Ricci流在任意度量时刻的Immortal解  

Immortal Solution of Ricci Flow at Any Metric Time

作　　者：赵成兵[1,2] 

机构地区：[1]安徽建筑工业学院数学系,安徽合肥230022 [2]合肥工业大学管理学院,安徽合肥230009

出　　处：《同济大学学报（自然科学版）》2010年第12期1857-1860,共4页Journal of Tongji University:Natural Science

基　　金：国家自然科学基金资助项目(70731003);安徽省高等学校自然科学基金资助项目(KJ2008A030);安徽建筑工业学院博士基金资助项目(2007-6-3)

摘　　要：通过解Poincaré-Lelong方程,完备非紧的n维的有着非负有界全纯双截曲率的Khler流形上的Ricci流方程被研究,如果它满足如下的条件:∫0skt(x,s)ds≤qC log(2+r).那么Ricci流在任意度量时刻t存在Immortal解的充分必要条件被得到,它是对文献[1]在度量t=0时刻得到Ricci流存在Immortal解条件的推广。The Ricci flow equation on n dimensional complete noncompact Khler manifolds is studied by solving the Poincaré-Lelong equation,if the following condition is satisfied：∫0skt（x,s）ds≤qC log（2＋r）,then a necessary and sufficient condition for the existence of the immortal solution to the Ricci flow at any meric t time is obtained.It extends the result of Reference[1]that they get a necessary and sufficient condition for the existence of the immortal solution to the Ricci flow at metric t=0 time.

关 键 词：Poincaré-Lelong方程 RICCI流 Immortal解 有界曲率 

分 类 号：O186.1[理学—数学]