solidot新版网站常见问题,请点击这里查看。

Closed geodesics with local homology in maximal degree on non-compact manifolds. (arXiv:1707.00257v1 [math.DG])

来源于:arXiv
We show that, on a complete and possibly non-compact Riemannian manifold of dimension at least 2 without close conjugate points at infinity, the existence of a closed geodesic with local homology in maximal degree and maximal index growth under iteration forces the existence of infinitely many closed geodesics. For closed manifolds, this was a theorem due to Hingston. 查看全文>>