A survey on the Weinstein conjecture  

作　　者：Yanqiao DING 

机构地区：[1]School of Mathematics and Statistics,Zhengzhou University,Zhengzhou 450001,China

出　　处：《Frontiers of Mathematics in China》2025年第1期1-15,共15页中国高等学校学术文摘·数学(英文)

摘　　要：The Weinstein conjecture predicts that there is at least one periodic orbit for every compact contact hypersurface in a symplectic manifold,which turns out an important research direction in symplectic topology and contact topology.According to the methods of the research,this paper surveys the study on the Weinstein conjecture using the variational method and the pseudoholomorphic curves method.

关 键 词：Weinstein conjecture periodic orbit contact manifold J-holomorphic curves Reeb flow 

分 类 号：O186.1[理学—数学]