Maslov-type index theory for sympletctic paths with Lagrangian boundary and Seifert conjecture in the even convex case

摘要：

　　This is a ioint work with Chungen Liu.In this talk,we briefly review Malsov type index theory for symplectic pahts with Lagrangian boundary.As a application we prove that there exist at least n geometrically distinct brake orbits on every C2 compact convex symmetric hypersurface Σ in R2 satisfying the reversible condition N Σ=Σ with N = diag (-In,In).As a consequence,we show that that if the Hamiltonian function is convex and even,then the Seifert conjecture of 1948 on the multiplicity of brake orbits holds for any positive integer n.

作者: Duanzhi Zhang

作者单位: Nankai University,Tianjin 300071,China

会议类型: 国内会议

会议名称: 2012 Nonlinear Evolutionary Partial differential Equations--theories and Qpplications( 非线性偏微分方程理论与应用国际会议)

会议地点: 上海

会议语种:英文

页码: 1-1

在线出版日期: 2012-06-12（万方平台首次上网日期，不代表论文的发表时间）