Tangent Dirac structures of higher order
P. M. Kouotchop Wamba; A. Ntyam; J. Wouafo Kamga
Archivum Mathematicum (2011)
- Volume: 047, Issue: 1, page 17-22
- ISSN: 0044-8753
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topKouotchop Wamba, P. M., Ntyam, A., and Wouafo Kamga, J.. "Tangent Dirac structures of higher order." Archivum Mathematicum 047.1 (2011): 17-22. <http://eudml.org/doc/116530>.
@article{KouotchopWamba2011,
abstract = {Let $L$ be an almost Dirac structure on a manifold $M$. In [2] Theodore James Courant defines the tangent lifting of $L$ on $TM$ and proves that:
If $L$ is integrable then the tangent lift is also integrable.
In this paper, we generalize this lifting to tangent bundle of higher order.},
author = {Kouotchop Wamba, P. M., Ntyam, A., Wouafo Kamga, J.},
journal = {Archivum Mathematicum},
keywords = {Dirac structure; almost Dirac structure; tangent functor of higher order; natural transformations; Dirac structure; almost Dirac structure; tangent functor of higher order; natural transformation},
language = {eng},
number = {1},
pages = {17-22},
publisher = {Department of Mathematics, Faculty of Science of Masaryk University, Brno},
title = {Tangent Dirac structures of higher order},
url = {http://eudml.org/doc/116530},
volume = {047},
year = {2011},
}
TY - JOUR
AU - Kouotchop Wamba, P. M.
AU - Ntyam, A.
AU - Wouafo Kamga, J.
TI - Tangent Dirac structures of higher order
JO - Archivum Mathematicum
PY - 2011
PB - Department of Mathematics, Faculty of Science of Masaryk University, Brno
VL - 047
IS - 1
SP - 17
EP - 22
AB - Let $L$ be an almost Dirac structure on a manifold $M$. In [2] Theodore James Courant defines the tangent lifting of $L$ on $TM$ and proves that:
If $L$ is integrable then the tangent lift is also integrable.
In this paper, we generalize this lifting to tangent bundle of higher order.
LA - eng
KW - Dirac structure; almost Dirac structure; tangent functor of higher order; natural transformations; Dirac structure; almost Dirac structure; tangent functor of higher order; natural transformation
UR - http://eudml.org/doc/116530
ER -
References
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- Ntyam, A., Wouafo Kamga, J., 10.4064/ap82-3-4, Ann. Pol. Math. 82 (3) (2003), 233–240. (2003) MR2040808DOI10.4064/ap82-3-4
Citations in EuDML Documents
top- P. M. Kouotchop Wamba, A. Ntyam, J. Wouafo Kamga, Some properties of tangent Dirac structures of higher order
- P. M. Kouotchop Wamba, A. Ntyam, Tangent lifts of higher order of multiplicative Dirac structures
- P.M. Kouotchop Wamba, A. MBA, The infinitesimal counterpart of tangent presymplectic groupoids of higher order
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