Please use this identifier to cite or link to this item:
http://hdl.handle.net/10174/17395
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Title: | On invariants of almost symplectic connections |
Authors: | Albuquerque, Rui Picken, Roger |
Keywords: | almost symplectic linear connection |
Issue Date: | Dec-2015 |
Publisher: | Springer |
Citation: | R. Albuquerque , R. Picken. On Invariants of Almost Symplectic Connections. Mathematical Physics, Analysis and Geometry, 2015, Vol. 18, Issue 1, paper 8. |
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. |
URI: | http://dx.doi.org/10.1007/s11040-015-9180-y http://arxiv.org/abs/1107.1860 http://hdl.handle.net/10174/17395 |
Type: | article |
Appears in Collections: | CIMA - Publicações - Artigos em Revistas Internacionais Com Arbitragem Científica
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