The diffential geometry of composition sequences of differentiable manifolds
| dc.creator | Tsemo, A. | |
| dc.date | 2002-10-07 | |
| dc.date | 2002-11-04 | |
| dc.date.accessioned | 2026-07-07T04:51:42Z | |
| dc.date.available | 2026-07-07T04:51:42Z | |
| dc.description | Let F_0=B,...,F_n be a sequence of differentiable manifolds, G_i a Lie subgroup of diffeomorphisms of F_i, and H_i a subgroup of G_i central in G_i. We suppose also given a locally trivial bundle p_{K_i} over F_{i-1} which typical fiber is K_i the quotient of G_i by H_i. The aim of this paper is to study the differential geometry of the following problem: classify sequences M_n\to...M_1, where each map from M_i to M_{i-1} is a locally trivial fibration which typical fiber is F_i and which transition functions image are elements of G_i. We associate to this problem a tower of gerbes and define for it the notion of connective structure, curvature and holonomy using the notion of free transitive distribution (free TD) | |
| dc.description | 13 pages, 10 references, we define the notion of holonomy in this version | |
| dc.identifier | https://arxiv.org/abs/math/0210102 | |
| dc.identifier | http://arxiv.org/abs/math/0210102 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/65205 | |
| dc.subject | Differential Geometry | |
| dc.title | The diffential geometry of composition sequences of differentiable manifolds | |
| dc.type | text |