The codimension one homology of a complete manifold with nonnegative Ricci curvature
| dc.creator | Shen, Zhongmin | |
| dc.creator | Sormani, Christina | |
| dc.date | 1999-09-02 | |
| dc.date | 2000-11-18 | |
| dc.date.accessioned | 2026-07-07T05:30:38Z | |
| dc.date.available | 2026-07-07T05:30:38Z | |
| dc.description | In this paper we prove that a complete noncompact manifold with nonnegative Ricci curvature has a trivial codimension one homology unless it is a split or flat normal bundle over a compact totally geodesic submanifold. In particular, we prove the conjecture that a complete noncompact manifold with positive Ricci curvature has a trivial codimension one integer homology. We also have a corollary stating when the codimension two integer homology of such a manifold is torsion free. | |
| dc.description | Revised Version, 10 pages, 5 figures, Amer. J. Math. (to appear) | |
| dc.identifier | https://arxiv.org/abs/math/9909017 | |
| dc.identifier | http://arxiv.org/abs/math/9909017 | |
| dc.identifier | American Journal of Mathematics, 123(2001), 515-524. | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/79052 | |
| dc.subject | Differential Geometry | |
| dc.subject | Metric Geometry | |
| dc.subject | 53C20 | |
| dc.title | The codimension one homology of a complete manifold with nonnegative Ricci curvature | |
| dc.type | text |