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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.
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…