Zobrazeno 1 - 10
of 65
pro vyhledávání: '"Duan, Huagui"'
Autor:
Duan, Huagui, Xie, Dong
In this paper, we proved that for every non-degenerate $C^3$ compact star-shaped hypersurface $\Sigma$ in $\mathbb{R}^{8}$ which carries no prime closed characteristic of Maslov-type index $-1$, there exist at least four prime closed characteristics
Externí odkaz:
http://arxiv.org/abs/2409.04460
Autor:
Duan, Huagui, Xie, Dong
In this paper, we proved that for every Finsler metric on $S^n$ $(n\ge 4)$ with reversibility $\lambda$ and flag curvature $K$ satisfying $(\frac{2n-3}{n-1})^2 (\frac{\lambda}{\lambda+1})^2
Externí odkaz:
http://arxiv.org/abs/2406.15705
In this paper, we prove that for every non-degenerate $C^3$ compact star-shaped hypersurface $\Sigma$ in $\mathbf{R}^{6}$ which carries no prime closed characteristic of Maslov-type index $0$ or no prime closed characteristic of Maslov-type index $-1
Externí odkaz:
http://arxiv.org/abs/2401.13259
Autor:
Duan, Huagui, Qi, Zihao
In 1973, Katok constructed a non-degenerate (also called bumpy) Finsler metric on $S^3$ with exactly four prime closed geodesics. And then Anosov conjectured that four should be the optimal lower bound of the number of prime closed geodesics on every
Externí odkaz:
http://arxiv.org/abs/2309.00211
Autor:
Duan, Huagui, Xie, Dong
In this paper, we prove that for every Finsler $4$-dimensional sphere $(S^4,F)$ with reversibility $\lambda$ and flag curvature $K$ satisfying $\frac{25}{9}\left(\frac{\lambda}{1+\lambda}\right)^2
Externí odkaz:
http://arxiv.org/abs/2207.02405
In this paper, we prove that if all closed characteristics on a compact non-degenerate star-shaped hypersurface $\Sigma$ in $\mathbf{R}^{2n}$ are elliptic, then either there exist exactly $n$ geometrically distinct closed characteristics, or there ex
Externí odkaz:
http://arxiv.org/abs/2205.14789
Publikováno v:
Journal of Functional Analysis,2024
In this paper, we first generalize the common index jump theorem of Long-Zhu in 2002 and Duan-Long-Wang in 2016 to the case where the mean indices of symplectic paths are not required to be all positive. As applications, we study closed characteristi
Externí odkaz:
http://arxiv.org/abs/2205.07082
Autor:
Duan, Huagui, Xie, Dong
Let $M$ be a compact simply connected manifold satisfying $H^*(M;\mathbf{Q})\cong T_{d,n+1}(x)$ for integers $d\ge 2$ and $n\ge 1$. If all prime closed geodesics on $(M,F)$ with an irreversible bumpy Finsler metric $F$ are elliptic, either there exis
Externí odkaz:
http://arxiv.org/abs/2201.10975
Publikováno v:
In Journal of Functional Analysis 1 April 2024 286(7)
Autor:
Duan, Huagui, Xie, Dong
Publikováno v:
In Journal of Functional Analysis 15 April 2023 284(8)