General Notion of Curvature in Catastrophe Theory Terms
| dc.creator | Nikolov, Petko | |
| dc.creator | Nikolova, Lora | |
| dc.creator | Ruseva, Gergana | |
| dc.date | 2008-02-15 | |
| dc.date.accessioned | 2026-07-07T09:21:12Z | |
| dc.date.available | 2026-07-07T09:21:12Z | |
| dc.description | We introduce a new notion of a curvature of a superconnection, different from the one obtained by a purely algebraic analogy with the curvature of a linear connection. The naturalness of this new notion of a curvature of a superconnection comes from the study of singularities of smooth sections of vector bundles (Catastrophe Theory). We demonstrate that the classical examples of obstructions to a local equivalence: exterior differential for 2-forms, Riemannian tensor, Weil tensor, curvature of a linear connection and Nijenhuis tensor can be treated in terms of one general approach. This approach, applied to the superconnection leads to a new notion of a curvature (proposed in this paper) of a superconnection. | |
| dc.description | 13 pages, Ninth International Conference on Geometry, Integrability and Quantization, 2007 | |
| dc.identifier | https://arxiv.org/abs/0802.2187 | |
| dc.identifier | http://arxiv.org/abs/0802.2187 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/154938 | |
| dc.subject | Mathematical Physics | |
| dc.title | General Notion of Curvature in Catastrophe Theory Terms | |
| dc.type | text |