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Publications (27)

math.DS2001

Multiplicity of closed characteristics on symmetric convex hypersurfaces in $R^{2 n}$

Chun-gen Liu, Yiming Long, Chaofeng Zhu

Let $I^£$ be a compact $C^{2}$ hypersurface in $R^{2 n}$ bounding a convex set with non-empty interior. In this paper it is proved that there always exist at least $n$ geometrically d…

math.DS2004

Closed characteristics on compact convex hypersurfaces in $R^{2 n}$

Yiming Long, Chaofeng Zhu

For any given compact C^2 hypersurface Î£in {\bf R}^{2n} bounding a strictly convex set with nonempty interior, in this paper an invariant \varrho_n(Î£) is defined and satisfies \v…

math.DS2017

The existence of two non-contractible closed geodesics on every bumpy Finsler compact space form

Hui Liu, Yiming Long, Yuming Xiao

Let $M = S^{n} / I^$ and $h$ be a nontrivial element of finite order $p$ in $I ¨ _{1} (M)$ , where the integer $n \geq 2$ , $I^$ is a finite group which acts freely and isometrically on the $n$ -…

econ.GN2015

A New Class of Problems in the Calculus of Variations

Ivar Ekeland, Yiming Long, Qinglong Zhou

This paper investigates an infinite-horizon problems in the one-dimensional calculus of variations, arising from the Ramsey model of endogeneous economic growth. Following Chichiln…

math.DG2007

Multiple closed geodesics on bumpy Finsler $n$ -spheres

Huagui Duan, Yiming Long

In this paper we prove that for every bumpy Finsler metric $F$ on every rationally homological $n$ -dimensional sphere $S^{n}$ with $n \geq 2$ , there exist always at least two distinct…

math.DS2024

Three closed characteristics on non-degenerate star-shaped hypersurfaces in $R^{6}$

Huagui Duan, Hui Liu, Yiming Long +2

In this paper, we prove that for every non-degenerate $C^{3}$ compact star-shaped hypersurface $I^£$ in $R^{6}$ which carries no prime closed characteristic of Maslov-type in…

Publications (27)

Multiplicity of closed characteristics on symmetric convex hypersurfaces in R2n

Closed characteristics on compact convex hypersurfaces in R2n