5 papers
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 -null submanifold. We establish the links between the null geometry and basics invariants of the associated semi-Riemann…
Compactness of isospectral conformal Finslerian metrics set on a 3-manifold
G. Nibaruta, P. Nshimirimana
Let F be a Finslerian metric on an n-dimensional closed manifold M. In this work, we study problems about compactness of isospectral sets of conformal Finslerian metrics when n=3.
Finslerian convolution metrics and their special classes
Gilbert Nibaruta
Here, it is introduced a concept of convolution metric in Finslerian Geometry. This convolution metric is a kind of function obtained by a given mathematical operation between two…
Conformal deformations preserving the Finslerian -Einstein criterion
Serge Degla, Gilbert Nibaruta, Léonard Todjihounde
Given a Finslerian metric on a -manifold, conformal deformations of preserving the -Einstein criterion are presented. In particular, locally conformal invariance be…
Finslerian metrics locally conformally -Einstein
Serge Degla, Gilbert Nibaruta, Léonard Todjihounde
Let be the -curvature associated with the Chern connection or the Cartan connection. Adopting the pulled-back tangent bundle approach to the Finslerian Geometry, an intrins…