Seifert Conjecture in the Even Convex Case

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

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