6 citations · 10 across the 8 of their papers we have counts for
8 papers
Harmonicity of normal almost contact metric structures
M. Benyounes, T. Levasseur, E. Loubeau +1
We consider normal almost contact structures on a Riemannian manifold and, through their associated sections of an ad-hoc twistor bundle, study their harmonicity, as sections or as…
Harmonic morphisms and moment maps on hyper-Kähler manifolds
M. Benyounes, E. Loubeau, R. Pantilie
We characterise the actions, by holomorphic isometries on a Kähler manifold with zero first Betti number, of an abelian Lie group of dim\geq 2, for which the moment map is horizont…
Harmonic Vector Fields on Space Forms
M. Benyounes, E. Loubeau, C. M. Wood
A vector field s on a Riemannian manifold M is said to be harmonic if there exists a member of a 2-parameter family of generalised Cheeger-Gromoll metrics on TM with respect to whi…
Biharmonic holomorphic maps and conformally Kahler geometry
M. Benyounes, E. Loubeau, R. Slobodeanu
We give conditions on the Lee vector field of an almost Hermitian manifold such that any holomorphic map from this manifold into a (1,2)-symplectic manifold must satisfy the fourth…
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…
Harmonic maps and sections on spheres
M. Benyounes, E. Loubeau, C. M. Wood
The absence of interesting harmonic sections for the Sasaki and Cheeger-Gromoll metrics has led to the consideration of alternatives, for example in the form of a two-parameter fam…