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20072022
most citedExistence of closed characteristics on compact convex hypersurfaces in $\R^{2n}

26 citations · 111 across the 36 of their papers we have counts for

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7 papers · 1 filter

math.SG2015★ 7 cited

The enhanced common index jump theorem for symplectic paths and non-hyperbolic closed geodesics on Finsler manifolds

Huagui Duan, Yiming Long, Wei Wang

In this paper, we first generalize the common index jump theorem for symplectic matrix paths proved in 2002 by Long and Zhu in [LoZ], and get an enhanced version of it. As its appl…

math.SG2011★ 26 cited

Existence of closed characteristics on compact convex hypersurfaces in $\R^{2n}

Wei Wang

In this paper, we prove there exist at least geometrically distinct closed characteristics on every compact convex hypersurface $\Sg$ in . Moreover, th…

math.SG2009★ 3 cited

Closed trajectories on symmetric convex Hamiltonian energy surfaces

Wei Wang

In this article, let be a compact convex Hamiltonian energy surface which is symmetric with respect to the origin. where . We prove that there exist at le…

math.SG2008

Reduced genus-two Gromov-Witten Invariants for complex manifolds

Wei Wang

In this article, we construct the reduced genus-two Gromov-Witten invariants for certain almost Kähler manifold such that is integrable and satisfies some regularit…

math.SG2008★ 2 cited

Stability of closed characteristics on compact hypersurfaces in under pinching condition

Wei Wang

In this article, let be a compact convex hypersurface which is -pinched with . Then $\Sg$ carries at least two strictly elliptic c…

math.SG2007★ 1 cited

Resonance identity, stability and multiplicity of closed characteristics on compact convex hypersurfaces

Wei Wang, Xijun Hu, Yiming Long

There is a long standing conjecture in Hamiltonian analysis which claims that there exist at least geometrically distinct closed characteristics on every compact convex hypersu…