Regularity of p-harmonic maps into certain manifolds with positive sectional curvature.
Regularity of weakly harmonic maps from a surface into a manifold with symmetries.
Remarks on approximate harmonic maps.
Removability of singularities of harmonic maps into pseudo-riemannian manifolds
Ricci flow coupled with harmonic map flow
We investigate a coupled system of the Ricci flow on a closed manifold with the harmonic map flow of a map from to some closed target manifold ,where is a (possibly time-dependent) positive coupling constant. Surprisingly, the coupled system may be less singular than the Ricci flow or the harmonic map flow alone. In particular, we can always rule out energy concentration of a-priori by choosing large enough. Moreover, it suffices to bound the curvature of to also obtain control of ...
Rotationally symmetric harmonic maps from a ball into a sphere and the regularity problem for weak solutions of elliptic systems.
Rotationally Symmetric Harmonic Maps from a Ball into a Warped Product Manifold.
Sine - Laplace Equation, Sinh-Laplace Equation and Harmonic Maps.
Some constancy results for harmonic maps from non-contractable domains into spheres.
Some constructions of biharmonic maps on the warped product manifolds
In this paper, we characterize a class of biharmonic maps from and between product manifolds in terms of the warping function. Examples are constructed when one of the factors is either Euclidean space or sphere.
Some examples of harmonic maps for -natural metrics
We produce new examples of harmonic maps, having as source manifold a space of constant curvature and as target manifold its tangent bundle , equipped with a suitable Riemannian -natural metric. In particular, we determine a family of Riemannian -natural metrics on , with respect to which all conformal gradient vector fields define harmonic maps from into .
Some properties and applications of harmonic mappings
Some properties of exponentially harmonic maps
Some results on the geometry of full flag manifolds and harmonic maps.
Spectral geometry of harmonic maps into warped product manifolds. II.
Stabilities of F-Yang-Mills fields on submanifolds
In this paper, we define an -Yang-Mills functional, and hence -Yang-Mills fields. The first and the second variational formulas are calculated, and the stabilities of -Yang-Mills fields on some submanifolds of the Euclidean spaces and the spheres are investigated, and hence the theories of Yang-Mills fields are generalized in this paper.
Stability and Uniqueness Properties of the Equator Map from a Ball into an Ellipsoid.
Stability, complex-analyticity and constancy of pluriharmonic maps from compact Kaehler manifolds.
Stability of the equator map.
Stable defects of minimizers of constrained variational principles