Almost symplectic structures on the linear frame bundle from linear connection
Annales UMCS, Mathematica (2009)
- Volume: 63, Issue: 1, page 49-53
- ISSN: 2083-7402
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topAnna Bednarska. "Almost symplectic structures on the linear frame bundle from linear connection." Annales UMCS, Mathematica 63.1 (2009): 49-53. <http://eudml.org/doc/267983>.
@article{AnnaBednarska2009,
abstract = {We describe all M fm-natural operators S: Q ↝ Symp P1 transforming classical linear connections ∇ on m-dimensional manifolds M into almost symplectic structures S(∇) on the linear frame bundle P1M over M.},
author = {Anna Bednarska},
journal = {Annales UMCS, Mathematica},
keywords = {Classical linear connection; almost symplectic structure; linear frame bundle; natural operator; classical linear connection},
language = {eng},
number = {1},
pages = {49-53},
title = {Almost symplectic structures on the linear frame bundle from linear connection},
url = {http://eudml.org/doc/267983},
volume = {63},
year = {2009},
}
TY - JOUR
AU - Anna Bednarska
TI - Almost symplectic structures on the linear frame bundle from linear connection
JO - Annales UMCS, Mathematica
PY - 2009
VL - 63
IS - 1
SP - 49
EP - 53
AB - We describe all M fm-natural operators S: Q ↝ Symp P1 transforming classical linear connections ∇ on m-dimensional manifolds M into almost symplectic structures S(∇) on the linear frame bundle P1M over M.
LA - eng
KW - Classical linear connection; almost symplectic structure; linear frame bundle; natural operator; classical linear connection
UR - http://eudml.org/doc/267983
ER -
References
top- Berndt, R., An Introduction to Symplectic Geometry, Graduate Studies in Mathematics, Vol 26, American Mathematical Society, Providence, Rhode Island, 2001. Zbl0986.53028
- Kobayashi, S., Nomizu, K., Foundations of Differential Geometry, Vol I, Interscience Publisher, New York-London, 1963. Zbl0119.37502
- Kolář, I., Michor, P. W. and Slovák, J., Natural Operations in Differential Geometry, Springer-Verlag, Berlin, 1993. Zbl0782.53013
- Kurek, J., Mikulski, W. M., Riemannian structures on higher order frame bundles from classical linear connections, Differential Geometry, Proceedings of the VIII International Colloquium Santiago de Compostela, World Scientific 2009, 296-300. Zbl1181.58004
- León, M. de, Rodrigues, P. R., Methods of Differential Geometry in Analytical Mechanics, North-Holland Math. Stud. 158, Amsterdam, 1989. Zbl0687.53001
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