Harmonic diffeomorphisms, minimizing harmonic maps and rotational symmetry
Harmonic Differentials and Closed Geodesics on a Riemann Surface.
Harmonic Functions of Polynomial Growth on Certain Complete Manifolds.
Harmonic functions on Alexandrov spaces and their applications.
Harmonic functions on connected sums of manifolds.
Harmonic functions on Riemannian manifolds with ends.
Harmonic majorization and thinness
Harmonic map heat flow with free boundary.
Harmonic Mappings and Minimal Submanifolds.
Harmonic mappings into Riemannian manifolds with non-positive sectional curvature.
Harmonic mappings of Kähler manifolds to locally symmetric spaces
Harmonic mappings of surfaces
Harmonic maps and representations of non-uniform lattices of
We study representations of lattices of into . We show that if a representation is reductive and if is at least 2, then there exists a finite energy harmonic equivariant map from complex hyperbolic -space to complex hyperbolic -space. This allows us to give a differential geometric proof of rigidity results obtained by M. Burger and A. Iozzi. We also define a new invariant associated to representations into of non-uniform lattices in , and more generally of fundamental groups of orientable...
Harmonic maps and Riemannian submersions between manifolds endowed with special structures
It is well known that Riemannian submersions are of interest in physics, owing to their applications in the Yang-Mills theory, Kaluza-Klein theory, supergravity and superstring theories. In this paper we give a survey of harmonic maps and Riemannian submersions between manifolds equipped with certain geometrical structures such as almost Hermitian structures, contact structures, f-structures and quaternionic structures. We also present some new results concerning holomorphic maps and semi-Riemannian...
Harmonic maps and -regular manifolds
Harmonic maps and stability on -Kenmotsu manifolds.
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 and the Topology of Stable Hypersurfaces and Manifolds with Non-negative Ricci Curvature
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...