21 citations · 30 across the 10 of their papers we have counts for
10 papers
Higher-power harmonic maps and sections
A. Ramachandran, C. M. Wood
The variational theory of higher-power energy is developed for mappings between Riemannian manifolds, and more generally sections of submersions of Riemannian manifolds, and applie…
Harmonic vector fields on pseudo-Riemannian manifolds
R. M. Friswell, C. M. Wood
The theory of harmonic vector fields on Riemannian manifolds is generalised to pseudo-Riemannian manifolds. Harmonic conformal gradient fields on pseudo-Euclidean hyperquadrics are…
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…
Harmonic contact metric structures, and submersions
E. Vergara-Diaz, C. M. Wood
We study harmonic almost contact structures in the context of contact metric manifolds, and an analysis is carried out when such a manifold fibres over an almost Hermitian manifold…
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…
The geometry of generalised Cheeger-Gromoll metrics
M. Benyounes, E. Loubeau, C. M. Wood
We study the geometry of the tangent bundle equipped with a two-parameter family of Riemannian metrics. After deriving the expression of the Levi-Civita connection, we compute the…