Multiple P-cyclic symmetric closed characteristics on compact convex P-cyclic symmetric hypersurfaces in R^(2n)

作     者：Hui LIU Hui ZHANG Hui LIU;Hui ZHANG

作者机构：School of Mathematics and StatisticsWuhan UniversityWuhan 430072China 

出 版 物：《Frontiers of Mathematics in China》 (中国高等学校学术文摘·数学（英文）)

年 卷 期：2020年第15卷第6期

页      面：1155-1173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：supported by the National Natural Science Foundation of China(Grant Nos.11771341 12022111) 

主　　题：Compact convex hypersurfaces Hamiltonian system P-cyclic symmetric closed characteristics multiplicity 

摘      要：Let k≥2 be an integer and P be a 2n×2n symplectic orthogonal matrix satisfying P^(k)=I_(2n) and ker(P^(j)-I_(2n)=0,1≤j*** any compact convex hypersurface ∑■R^(2n) with n≥2 which is P-cyclic symmetric,i.e.,x∈∑implies Px∈∑,we prove that if ∑ is(r,R)-pinched with R/r√(2k+2)/k,then there exist at least n geometrically distince P-cyclic symmetric closed characteristics on ∑ for a broad class of matrices P.