The infinitesimal counterpart of tangent presymplectic groupoids of higher order
Archivum mathematicum, Tome 54 (2018) no. 3, pp. 135-151
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Let $\left(G, \omega \right)$ be a presymplectic groupoid. In this paper we characterize the infinitesimal counter part of the tangent presymplectic groupoid of higher order, $(T^{r}G, \omega ^{\left(c\right)})$ where $T^{r}G$ is the tangent groupoid of higher order and $\omega ^{\left(c\right)}$ is the complete lift of higher order of presymplectic form $\omega $.
DOI :
10.5817/AM2018-3-135
Classification :
53C15, 53C75, 53D05
Keywords: IM-2 forms; complete lifts of vector fields and differential forms; twisted-Dirac structures; tangent functor of higher order; natural transformations
Keywords: IM-2 forms; complete lifts of vector fields and differential forms; twisted-Dirac structures; tangent functor of higher order; natural transformations
@article{10_5817_AM2018_3_135,
author = {Kouotchop Wamba, P.M. and MBA, A.},
title = {The infinitesimal counterpart of tangent presymplectic groupoids of higher order},
journal = {Archivum mathematicum},
pages = {135--151},
publisher = {mathdoc},
volume = {54},
number = {3},
year = {2018},
doi = {10.5817/AM2018-3-135},
mrnumber = {3847321},
zbl = {06940794},
language = {en},
url = {http://geodesic.mathdoc.fr/articles/10.5817/AM2018-3-135/}
}
TY - JOUR AU - Kouotchop Wamba, P.M. AU - MBA, A. TI - The infinitesimal counterpart of tangent presymplectic groupoids of higher order JO - Archivum mathematicum PY - 2018 SP - 135 EP - 151 VL - 54 IS - 3 PB - mathdoc UR - http://geodesic.mathdoc.fr/articles/10.5817/AM2018-3-135/ DO - 10.5817/AM2018-3-135 LA - en ID - 10_5817_AM2018_3_135 ER -
%0 Journal Article %A Kouotchop Wamba, P.M. %A MBA, A. %T The infinitesimal counterpart of tangent presymplectic groupoids of higher order %J Archivum mathematicum %D 2018 %P 135-151 %V 54 %N 3 %I mathdoc %U http://geodesic.mathdoc.fr/articles/10.5817/AM2018-3-135/ %R 10.5817/AM2018-3-135 %G en %F 10_5817_AM2018_3_135
Kouotchop Wamba, P.M.; MBA, A. The infinitesimal counterpart of tangent presymplectic groupoids of higher order. Archivum mathematicum, Tome 54 (2018) no. 3, pp. 135-151. doi: 10.5817/AM2018-3-135
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