most citedHarmonic maps and Kaluza-Klein metrics on spheres

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math.DG2008★ 2 cited

Harmonic maps and Kaluza-Klein metrics on spheres

M. Benyounes, E. Loubeau, L. Todjihounde

This article studies the harmonicity of vector fields on Riemannian manifolds, viewed as maps into the tangent bundle equipped with a family of Riemannian metrics. Geometric and to…

math.DG2008

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…

math.DG2007

Mean-value property on manifolds with minimal horospheres

Leonard Todjihounde

Let (M,g) be a non-compact and complete Riemannian manifold with minimal horospheres and infinite injectivity radius. We prove that bounded functions on (M,g) satisfying the mean-v…