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 G , ω be a presymplectic groupoid. In this paper we characterize the infinitesimal counter part of the tangent presymplectic groupoid of higher order, ( T r G , ω c ) where T r G is the tangent groupoid of higher order and ω c is the complete lift of higher order of presymplectic form ω .

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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