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Seifert Conjecture in the Even Convex Case

发布时间:2015-08-07浏览次数:58

论文题目:Seifert Conjecture in the Even Convex Case

论文作者:Chungen Liu , Duanzhi Zhang

发表杂志:Communications on Pure and Applied Mathematics, Vol. LXVII, 1563–1604 (2014)

文章介绍:

In this paper, we prove that there exist at least  geometrically distinct brake orbits on every compact convex symmetric hypersurfacein satisfying the reversible condition with .As a consequence, we show that if the Hamiltonian function is convex and even, then Seifert conjecture of 1948 on the multiplicity of brake orbits holds for any positive integer n.

所属实验室或研究中心:教育部核心数学与组合数学重点实验室

论文:PDF