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On natural vector bundle morphisms $T_{A} \circ ⨂_{s}^{q} \to ⨂_{s}^{q} \circ T_{A}$ over $i d_{T_{A}}$

A. Ntyam; A. Mba — 2009

Annales Polonici Mathematici

Some properties and applications of natural vector bundle morphisms $T_{A} \circ ⨂_{s}^{q} \to ⨂_{s}^{q} \circ T_{A}$ over $i d_{T_{A}}$ are presented.

The infinitesimal counterpart of tangent presymplectic groupoids of higher order

P. M. Kouotchop Wamba; A. MBA — 2018

Archivum Mathematicum

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 $ω$ .

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On natural vector bundle morphisms T A ∘ ⨂ s q → ⨂ s q ∘ T A over i d T A

The infinitesimal counterpart of tangent presymplectic groupoids of higher order

On natural vector bundle morphisms $T_{A} \circ ⨂_{s}^{q} \to ⨂_{s}^{q} \circ T_{A}$ over $i d_{T_{A}}$