A. Nibirantiza

collaborators

4 papers

math.GM2021

Induced Semi-Riemannian structures on null submanifolds

Ménédore Karimumuryango, Domitien Ndayirukiye, Gilbert Nibaruta +1

In this paper, we induce a semi-Riemannian metric on the $r$ -null submanifold. We establish the links between the null geometry and basics invariants of the associated semi-Riemann…

math.DG2016

Heisenberg order of differential operators on the superspaces $R^{2 l + 1∣ n}$

Aboubacar Nibirantiza

We study in this paper, the existence of tree types of filtrations of the space $D_{λ μ} (R^{2 l + 1∣ n})$ of differential operators on the superspaces $R^{2 l + 1∣ n}$ endowed w…

math.DG2016

On the matrix realization of the Lie superalgebra of contact projective vector fields $spo (2 l + 2∣ n)$

Aboubacar Nibirantiza

In this paper, we show that the Lie superalgebra $spo (2 l + 2∣ n)$ is into the intersection of Lie superalgebra of contact vector fields $K (2 l + 1∣ n)$ and the Lie su…

math.DG2016

The fine $\spo(2|n)$-equivariant quantizations on the super circles $S^{1∣ n}$

Aboubacar Nibirantiza

In this paper, we generalize the known results on the super circles $S^{1∣1}$ and $S^{1∣2}$ . We construct the fine equivariant quantization on the super circle $S^{1∣ n}$ for $n\geq…

Induced Semi-Riemannian structures on null submanifolds

Heisenberg order of differential operators on the superspaces R2l+1∣n

On the matrix realization of the Lie superalgebra of contact projective vector fields spo(2l+2∣n)

The fine $\spo(2|n)$-equivariant quantizations on the super circles S1∣n

Heisenberg order of differential operators on the superspaces $R^{2 l + 1∣ n}$

On the matrix realization of the Lie superalgebra of contact projective vector fields $spo (2 l + 2∣ n)$

The fine $\spo(2|n)$-equivariant quantizations on the super circles $S^{1∣ n}$