The fundamental group of manifolds of positive isotropic curvature and surface groups
| dc.creator | Fraser, Ailana | |
| dc.creator | Wolfson, Jon | |
| dc.date | 2005-06-29 | |
| dc.date.accessioned | 2026-07-07T05:21:16Z | |
| dc.date.available | 2026-07-07T05:21:16Z | |
| dc.description | In this paper we study the topology of compact manifolds of positive isotropic curvature (PIC). There are many examples of non-simply connected compact manifolds with positive isotropic curvature. We prove that the fundamental group of a compact Riemannian manifold with PIC, of dimension greater than or equal to 5, does not contain a subgroup isomorphic to the fundamental group of a compact Riemann surface. The proof uses stable minimal surface theory. | |
| dc.identifier | https://arxiv.org/abs/math/0506609 | |
| dc.identifier | http://arxiv.org/abs/math/0506609 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/75626 | |
| dc.subject | Differential Geometry | |
| dc.subject | 53C21; 57M05 | |
| dc.title | The fundamental group of manifolds of positive isotropic curvature and surface groups | |
| dc.type | text |