Harmonic almost-complex structures
Harmonic and quasi-harmonic spheres, part III. Rectifiablity of the parabolic defect measure and generalized varifold flows
Harmonic diffeomorphisms, minimizing harmonic maps and rotational symmetry
Harmonic diffeomrophisms with roational symmetry.
Harmonic Functions of Polynomial Growth on Certain Complete Manifolds.
Harmonic functions on connected sums of manifolds.
Harmonic gauges on Riemann surfaces and stable bundles
Harmonic map Heat Flow for axially symmetric Data.
Harmonic map heat flow with free boundary.
Harmonic Mappings and Minimal Submanifolds.
Harmonic mappings into manifolds with boundary
Harmonic mappings of Kähler manifolds to locally symmetric spaces
Harmonic mappings with partially free boundary.
Harmonic maps and harmonic morphisms
Harmonic maps and the topology of manifolds with positive spectrum and stable minimal hypersurfaces.
In this paper, we prove two Liouville theorems for harmonic maps and apply them to study the topology of manifolds with positive spectrum and stable minimal hypersurfaces in Riemannian manifolds with non-negative bi-Ricci curvature.
Harmonic maps between flat surfaces with conical singularities.
Harmonic maps between unbounded convex polyhedra in hyperbolic spaces.
Harmonic maps form surfaces to R-trees.
Harmonic maps from a Riemannian manifold with a pole into an Hadamard manifold with negative sectional curvatures.
Harmonic maps from compact Kähler manifolds with positive scalar curvature to Kähler manifolds of strongly seminegative curvature
It is well known there is no non-constant harmonic map from a closed Riemannian manifold of positive Ricci curvature to a complete Riemannian manifold with non-positive sectional curvature. If one reduces the assumption on the Ricci curvature to one on the scalar curvature, such a vanishing theorem does not hold in general. This raises the question: What information can we obtain from the existence of a non-constant harmonic map? This paper gives an answer to this problem when both manifolds are...