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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>>