Welcome｜University of Burundi

Docteur. Renovat NKUNZIMANA

University : University of Burundi

Faculty : Faculty of Sciences (FS)

Research Center : CRMP

Email : renovat.nkunzimana@ub.edu.bi

Dr Renovat Nkunzimana is a mathematician who works in field of différential geometry and its applications. Holder of a doctorate in mathematicals sciences, in his Phd he has classified the taut foliations of bundles 3-manifolds which fibers ares circles. His research field is foliations theory and he works also on the fields like data analysis and numbers end groups theories. He is a senior professor at University of Burundi and some subregion university.

📘 GEOMETRIE II

📅 Published on 2025-12-06 18:16:32

📘 TOPOLOGIE GENERALE

📅 Published on 2025-12-06 18:52:14

📄 In this paper we study the geometry of Mannheim curves in a strict Walker 3-manifold and we obtain explicit parametric equations for Mannheim curves and timelike Mannheim curves, respectively. We determine the distance between two corresponding points of the Mannheim pair of curves and show that distance depending of the curvature. We discuss the relationship between the curvature and torsion of a pair of Mannheim curves in a strict Walker Manifold. We finish by an example of Mannheim pair curves for illustrate the result.

📅 Published on 2026-01-16 17:56:16

📄 In this paper we construct the models foliations on pseudo Anosov bundle using the Gyhs Thurston’s method which consists of the suspension of diffeomorphism followed by desingularization and we study some properties of those foliations.

📅 Published on 2026-01-16 17:53:46

📄 This paper examines f-biharmonic curves within a three-dimensional Walker manifold, focusing on their geometric properties. It derives explicit parametric equations for these curves and establishes the necessary and sufficient conditions for a curve to be f-biharmonic. In particular, we proved that when the function f remains constant, the f-biharmonic curve reduces to a non-geodesic biharmonic curve.

📅 Published on 2025-12-26 16:30:11

📄 Dans cet article, nous avons établi les propriétés d’une classe de fonctions arithmétiques prenant les valeurs sur les entiers friables et sans facteur carré. Ces propriétés sont centrées sur les fonctions de répartition et les valeurs moyennes sur les entiers ordinaires et les entiers friables de ces fonctions. Nous montrons que les fonctions étudiées admettent des fonctions de répartition, d’une part. D’autre part, nous prouvons que la densité des entiers sans facteur carré a un effet sur les valeurs moyennes sur les entiers friable et sans facteur carré. En plus de cela, nous améliorons le terme d’erreur, établi par Mongi Naimi, de la moyenne des entiers friables sans facteur carré. Comme applications, nous considérons les fonctions: indicatrice d’Euler, somme des diviseurs d’un entier générique ?????1 et la fonction de Dedekind ainsi que leur généralisation.

📅 Published on 2025-12-06 19:17:58