22 citations · 69 across the 18 of their papers we have counts for
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math.DG2020
Classical Poisson algebra of a vector bundle : Lie-algebraic characterization
P. B. A Lecomte, Elie Zihindula Mushengezi
We prove that the Lie algebra of symbols of linear operators acting on smooth sections of a vector bundle characterizes it. To obtain this…
math.DG2020★ 1 cited
Lie algebra of homogeneous operators of a vector bundle
P. B. A. Lecomte, Elie Zihindula Mushengezi
We prove that for a vector bundle , the Lie algebra generated by all differential operators on which are eigenvectors of $L_{\mathcal{E…
math.DG2020
On Pursell-Shanks type results
Pierre B. A. Lecomte, Elie Zihindula Mushengezi
We prove a Lie-algebraic characterization of vector bundle for the Lie algebra seen as module, of all linear operators acting on sections of…