On invariants of almost symplectic connections
| dc.contributor.author | Albuquerque, Rui | |
| dc.contributor.author | Picken, Roger | |
| dc.date.accessioned | 2016-02-17T13:24:15Z | |
| dc.date.available | 2016-02-17T13:24:15Z | |
| dc.date.issued | 2015-12 | |
| dc.description.abstract | We study the irreducible decomposition under Sp(2n,R) of the space of torsion tensors of almost symplectic connections. Then a description of all symplectic quadratic invariants of torsion-like tensors is given. When applied to a manifold M with an almost symplectic structure, these instruments give preliminary insight for finding a preferred linear almost symplectic connection on M. We rediscover Ph. Tondeur’s Theorem on almost symplectic connections. Properties of torsion of the vectorial kind are deduced. | por |
| dc.description.sponsorship | FCT | por |
| dc.identifier.authoremail | rpa@uevora.pt | |
| dc.identifier.authoremail | nd | |
| dc.identifier.citation | R. Albuquerque , R. Picken. On Invariants of Almost Symplectic Connections. Mathematical Physics, Analysis and Geometry, 2015, Vol. 18, Issue 1, paper 8. | por |
| dc.identifier.doi | 10.1007/s11040-015-9180-y | por |
| dc.identifier.scientificarea | 337 | por |
| dc.identifier.uri | http://dx.doi.org/10.1007/s11040-015-9180-y | |
| dc.identifier.uri | http://arxiv.org/abs/1107.1860 | |
| dc.identifier.uri | http://hdl.handle.net/10174/17395 | |
| dc.language.iso | por | por |
| dc.peerreviewed | yes | por |
| dc.publisher | Springer | por |
| dc.rights | openAccess | por |
| dc.subject | almost symplectic | por |
| dc.subject | linear connection | por |
| dc.title | On invariants of almost symplectic connections | por |
| dc.type | article | por |
| degois.publication.firstPage | 1 | por |
| degois.publication.lastPage | 13 | por |
| degois.publication.title | Mathematical Physics, Analysis and Geometry | por |
| degois.publication.volume | 18:8 | por |