The infinitesimal counterpart of tangent presymplectic groupoids of higher order

P. M. Kouotchop Wamba; A. MBA

Archivum Mathematicum (2018)

  • Volume: 054, Issue: 3, page 135-151
  • ISSN: 0044-8753

Abstract

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Let be a presymplectic groupoid. In this paper we characterize the infinitesimal counter part of the tangent presymplectic groupoid of higher order, where is the tangent groupoid of higher order and is the complete lift of higher order of presymplectic form .

How to cite

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Kouotchop Wamba, P. M., and MBA, A.. "The infinitesimal counterpart of tangent presymplectic groupoids of higher order." Archivum Mathematicum 054.3 (2018): 135-151. <http://eudml.org/doc/294152>.

@article{KouotchopWamba2018,
abstract = {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 $.},
author = {Kouotchop Wamba, P. M., MBA, A.},
journal = {Archivum Mathematicum},
keywords = {IM-2 forms; complete lifts of vector fields and differential forms; twisted-Dirac structures; tangent functor of higher order; natural transformations},
language = {eng},
number = {3},
pages = {135-151},
publisher = {Department of Mathematics, Faculty of Science of Masaryk University, Brno},
title = {The infinitesimal counterpart of tangent presymplectic groupoids of higher order},
url = {http://eudml.org/doc/294152},
volume = {054},
year = {2018},
}

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
PB - Department of Mathematics, Faculty of Science of Masaryk University, Brno
VL - 054
IS - 3
SP - 135
EP - 151
AB - 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 $.
LA - eng
KW - IM-2 forms; complete lifts of vector fields and differential forms; twisted-Dirac structures; tangent functor of higher order; natural transformations
UR - http://eudml.org/doc/294152
ER -

References

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