Invariant hypersurface flows in centro-affine geometry

作     者：Yun Yang Changzheng Qu Yun Yang;Changzheng Qu

作者机构：Department of MathematicsNortheastern UniversityShenyang 110819China School of Mathematics and StatisticsNingbo UniversityNingbo 315211China 

出 版 物：《Science China Mathematics》 (中国科学：数学（英文版）)

年 卷 期：2021年第64卷第8期

页      面：1715-1734页

核心收录：

学科分类：07[理学] 0701[理学-数学] 070101[理学-基础数学] 

基　　金：This work was supported by National Natural Science Foundation of China(Grant Nos.11631007 and 11971251) 

主　　题：invariant geometric flow centro-affine geometry heat flow normal flow centro-affine invariant 

摘      要：In this paper,the invariant geometric flows for hypersurfaces in centro-affine geometry are *** first present evolution equations of the centro-affine invariants corresponding to the geometric *** on these fundamental evolution equations,we show that the centro-affine heat flow for hypersurfaces is equivalent to a system of ordinary differential equations,which can be solved ***,the centro-affine invariant normal flows for hypersurfaces are investigated,and two specific flows are provided to illustrate the behaviour of the flows.