Address: Department of Mathematics, Higher Teacher Training College, PO.BOX 47 Yaoundé, Cameroon
E-mail:
wambapm@yahoo.fr
alpmba@yahoo.fr
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 $.
AMSclassification: primary 53C15; secondary 53C75, 53D05.
Keywords: IM-2 forms, complete lifts of vector fields and differential forms, twisted-Dirac structures, tangent functor of higher order, natural transformations.
DOI: 10.5817/AM2018-3-135