On finite order variational sequences
| dc.creator | Vitolo, R. | |
| dc.date | 2000-01-05 | |
| dc.date.accessioned | 2026-07-07T04:27:34Z | |
| dc.date.available | 2026-07-07T04:27:34Z | |
| dc.description | We discuss intrinsic aspects of Krupka's approach to finite-order variational sequences. We give intrinsic isomorphisms of the quotient subsheaves of the short finite-order variational sequence with sheaves of forms on jet spaces of suitable order, obtaining a new finite-order (short exact) variational sequence which is made by sheaves of polynomial differential operators. Moreover, we present an intrinsic formulation for the Helmholtz condition of local variationality using a technique introduced by Kolar that we have adapted to our context. Finally, we provide the minimal order solution to the inverse problem of the calculus of variations and a solution of the problem of the variationally trivial Lagrangian. | |
| dc.description | LaTeX2e with Paul Taylor's diagrams, 38 pages, no figures. Long version of a paper appeared in Math. Proc. Camb. Phil. Soc. 125 (1999), 321-333 | |
| dc.identifier | https://arxiv.org/abs/math-ph/0001009 | |
| dc.identifier | http://arxiv.org/abs/math-ph/0001009 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/56463 | |
| dc.subject | Mathematical Physics | |
| dc.subject | High Energy Physics - Theory | |
| dc.subject | Differential Geometry | |
| dc.subject | 58G05;58A12,58A20,58E30 | |
| dc.title | On finite order variational sequences | |
| dc.type | text |