On periodic orbits in cotangent bundles of non-compact manifolds

Autor:	Berg, J. B. van den, Pasquotto, F., Rot, T. O., Vandervorst, R. C. A. M.
Rok vydání:	2013
Předmět:	Mathematics - Symplectic Geometry
Druh dokumentu:	Working Paper
Popis:	This paper is concerned with the existence of periodic orbits on energy hypersurfaces in cotangent bundles of Riemannian manifolds defined by mechanical Hamiltonians. In \cite{bpv} it was proved that, provided certain geometric assumptions are satisfied, regular mechanical hypersurfaces in $\mathbb{R}^{2n}$, in particular non-compact ones, contain periodic orbits if one homology group among the top half does not vanish. In the present paper we extend the above mentioned existence result to a class of hypersurfaces in cotangent bundles of Riemannian manifolds with flat ends. Comment: Revision. Accepted for publication in the Journal of Symplectic Geometry
Databáze:	arXiv
Externí odkaz:	http://arxiv.org/abs/1303.6461 Zobrazit plný text záznamu View this record from Arxiv