3 citations · 4 across the 8 of their papers we have counts for
10 papers · 1 filter
Explicit -harmonic functions on the real Grassmannians
Elsa Ghandour, Sigmundur Gudmundsson
In this work we use the method of eigenfamilies to construct explicit complex-valued proper -harmonic functions on the compact real Grassmannians. We also find proper -harmon…
Proper p-harmonic functions and harmonic morphisms on the classical non-compact semi-Riemannian Lie groups
Elsa Ghandour, Sigmundur Gudmundsson
We apply the method of eigenfamilies to construct new explicit complex-valued p-harmonic functions on the non-compact classical Lie groups, equipped with their natural semi-Riemann…
Proper biharmonic maps and -harmonic morphisms from some wild geometries
Elsa Ghandour, Sigmundur Gudmundsson
In this work we construct a variety of new complex-valued proper biharmonic maps and (2,1)-harmonic morphisms on Riemannian manifolds with non-trivial geometry. These are solutions…
Conformal Minimal Foliations on Semi-Riemannian Lie Groups
Elsa Ghandour, Sigmundur Gudmundsson, Victor Ottosson
We study left-invariant foliations on semi-Riemannian Lie groups generated by a subgroup . We are interested in such foliations which are conformal and with m…
Explicit harmonic morphisms and -harmonic functions from the complex and quaternionic Grassmannians
Elsa Ghandour, Sigmundur Gudmundsson
We construct explicit complex-valued -harmonic functions and harmonic morphisms on the classical compact symmetric complex and quaternionic Grassmannians. The ingredients for ou…
Almost complex surfaces in the nearly Kahler SL(2,R)xSL(2,R)
Elsa Ghandour, Luc Vrancken
The space admits a natural homogeneous pseudo-Riemannian nearly Kaehler structure. We investigate almost complex surfaces in this space. I…
Complex-valued (p,q)-harmonic morphisms from Riemannian manifolds
Elsa Ghandour, Sigmundur Gudmundsson
We introduce the natural notion of (p,q)-harmonic morphisms between Riemannian manifolds. This unifies several theories that have been studied during the last decades. We then stud…
Conformal foliations on Lie groups and complex-valued harmonic morphisms
Elsa Ghandour, Sigmundur Gudmundsson, Thomas Turner
We study left-invariant foliations on Riemannian Lie groups generated by a subgroup . We are interested in such foliations which are conformal and with minimal…
Generalized harmonic morphisms and horizontally weakly conformal biharmonic maps
Elsa Ghandour, Ye-Lin Ou
Harmonic morphisms are maps between Riemannian manifolds that pull back harmonic functions to harmonic functions. These maps are characterized as horizontally weakly conformal harm…
A class of analytic pairs of conjugate functions in dimension three
Paul Baird, Elsa Ghandour
We exploit an ansatz in order to construct power series expansions for pairs of conjugate functions defined on domains of Euclidean --space. Convergence properties of the result…