On the cobordisms of Möbius circles
| dc.creator | Gorinov, A. G. | |
| dc.date | 2006-05-22 | |
| dc.date.accessioned | 2026-07-07T07:14:26Z | |
| dc.date.available | 2026-07-07T07:14:26Z | |
| dc.description | The boundary of a Möbius manifold carries a canonical Möbius structure. This enables one to define the cobordism group of $n$-dimensional (closed) Möbius manifolds. The purpose of this note is to show that the cobordism group of Möbius circles is zero, i.e., every Möbius circle bounds a Möbius surface. We also complete N. Kuiper's classification of projective structures on $S^1$ (we show that there are in fact two series of projective circles with parabolic holonomy, and not one). | |
| dc.description | 9 pages, 6 figures | |
| dc.identifier | https://arxiv.org/abs/math/0605573 | |
| dc.identifier | http://arxiv.org/abs/math/0605573 | |
| dc.identifier | Topology Appl. 143 (2004), no. 1-3, 75--85 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/112874 | |
| dc.subject | Geometric Topology | |
| dc.title | On the cobordisms of Möbius circles | |
| dc.type | text |