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ENERGY OF TWISTED HARMONIC MAPS OF RIEMANN SURFACES
Riemann surface fundamental group flat bundle harmonic map energy Teichmuller space convex cocompact hyperbolic manifold
2015/12/17
The energy of harmonic sections of flat bundles of nonpositively curved (NPC) length spaces over a Riemann surface S is a function E ρ on Teichm¨uller space TS which is a qualitative invariant of the ...
Quantitative Stratification and the Regularity of Harmonic Maps and Minimal Currents
Quantitative Stratification the Regularity of Harmonic Maps Minimal Currents
2011/9/9
Abstract: We introduce techniques for turning estimates on the infinitesimal behavior of solutions to nonlinear equations (statements concerning tangent cones and blow ups) into more effective control...
Harmonic deformation of Delaunay triangulations
Harness process Point processes Harmonic functions on graphs Corrector
2011/1/19
We construct harmonic functions on random graphs given by Delaunay triangulations of ergodic
point processes as the limit of the zero-temperature harness process.
We describe work on solutions of certain non-divergence type and therefore non-variational elliptic and parabolic systems on manifolds. These systems include Hermitian and affine harmonics which shou...
On the Construction of $p$-harmonic Morphisms and Conformal Actions
$p$-harmonic morphism Clifford system homogeneous function conformal field
2007/12/11
We produce $p$-harmonic morphisms by conformal foliations and Clifford systems. First, we give a useful criterion for a foliation on an $m$-dimensional Riemannian manifold locally generated by conform...
Nonexistence of Stable Exponentially Harmonic Maps from or into Compact Convex Hypersurfaces in Rm+1
Exponentially harmonic map instability convex hypersurface
2010/2/25
In this paper, we study the nonexistence problems for stable exponentially harmonic map into or from compact convex hypersurface Mm \subset Rm+1, and show that every nonconstant exponentially harmonic...
We consider the class SH(D,W ) of complex functions f which are univalent, harmonic, sense preserving on a simple connected domain D\neq {\Bbb C} \ containing the origin, satisfy f(0)=a0, f\bar z(0)=0...