2 citations · 3 across the 7 of their papers we have counts for
7 papers
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…
Harnack inequalities for positive solutions of the heat equation on closed Finsler manifolds
Cyrille Combete, Serge Degla, Leonard Todjihounde
The main goal of this paper is to generalize some Li-Yau type gradient estimates to Finsler geometry in order to derive Harnack type inequalities. Moreover, we obtain, under some c…
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…
-Laplacian first eigenvalues controls on Finsler manifolds
Cyrille Combete, Serge Degla, Leonard Todjihounde
Given a Finsler manifold , it is proved that the first eigenvalue of the Finslerian -Laplacian is bounded above by a constant depending on , the dimension of , th…
Biharmonic Reeb curves in Sasakian manifolds
S. Degla, L. Todjihounde
Sasakian manifolds provide explicit formulae of some Jacobi operators which describe the biharmonic equation of curves in Riemannian manifolds. In this paper we characterize non-ge…
g-natural metrics on tangent bundles and Jacobi operators
S. Degla, L. Todjihounde
Let (M,g) be a Riemannian manifold and G a nondegenerate g-natural metric on its tangent bundle T M . In this paper we establish a relation between the Jacobi operators of (M,g) an…
g-Natural metrics of constant sectional curvature
S. Degla, J. -P. Ezin, L. Todjihounde
We prove that the tangent bundle endowed with a g-natural metrics has constant sectional curvature if and only if it is flat, and then we give a characterization of flat g-natural…