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HITCHIN HARMONIC MAPS ARE IMMERSIONS ANDREW SANDERS Abstract In Hit92 Hitchin used his theory of Higgs bundles to con- struct an important family of representations ρ :…
ON f -BI-HARMONIC MAPS BETWEEN RIEMANNIAN MANIFOLDS WEI-JUN LU A Both bi-harmonic map and f -harmonic map have nice physical motivation and applications…
Abstract We develop the theory of harmonic maps from a flat admissible 2-complex into a metric space of non-positive curvature. As an appli- cation, we give a harmonic maps
LUDMIL KATZARKOV, ALEXANDER NOLL, PRANAV PANDIT, AND CARLOS SIMPSON Happy Birthday Maxim! Abstract. In a continuation of our previous work [21], we out- line a theory which
THOMAS H. PARKER Abstract Let Σ be a compact Riemann surface. Any sequence fn : Σ —> M of harmonic maps with bounded energy has a "bubble tree limit"
WILLIAM M. GOLDMAN AND RICHARD A. WENTWORTH Abstract. The energy of harmonic sections of flat bundles of nonpositively curved (NPC) length spaces over a Riemann surface S
INSTANTONS RATIONAL MAPS AND HARMONIC MAPS Martin A Guest In these lectures I shall discuss the space HolS2 Fk of holomorphic maps from the Rie- mann sphere S2 to the space…
mfs.dviMichael Wolf* Houston, TX 77251 §1 Introduction. Fix a Riemannian surface of negative curvature (N2, h), and a differentiable surface M2 g of the same genus g
MINIMAL GRAPHS OVER RIEMANNIAN SURFACES AND HARMONIC DIFFEOMORPHISMS LAURENT MAZET MAGDALENA RODRÍGUEZ AND HAROLD ROSENBERG Abstract We construct a parabolic entire minimal…
Haigang Li∗, Changyou Wang † Abstract For a bounded domain equipped with a piecewise Lipschitz continuous Riemannian metric g, we consider harmonic map from
Harmonic maps and shift-invariant subspaces Rui Pacheco University of Beira Interior rpacheco@ubipt Joint work with A Alemand University of Lund and JC Wood University of…
Harmonic maps from a simplicial complex and geometric rigidity Georgios Daskalopoulos1 Brown University daskal@mathbrownedu Chikako Mese2 Johns Hopkins University cmese@mathjhuedu…
Rigidity and harmonic maps P Pansu September 29 2006 Introduction I Easy examples I Terminology I Survey of results Rigidity of triangle groups Example Let Γ = T347 = 〈s…
Some constructions of harmonic maps, 50 years after Eells–Sampson Lund University, 14 May 2014 John C. Wood University of Leeds, UK Dedicated to the memory of James Eells…
J DIFFERENTIAL GEOMETRY Vol 44 1996 595-633 BUBBLE TREE CONVERGENCE FOR HARMONIC MAPS THOMAS H PARKER Abstract Let Σ be a compact Riemann surface Any sequence fn : Σ —…
CONSTRUCTING BUILDINGS AND HARMONIC MAPS LUDMIL KATZARKOV, ALEXANDER NOLL, PRANAV PANDIT, AND CARLOS SIMPSON Happy Birthday Maxim! Abstract. In a continuation of our previous…
Harmonic tori in spheres and complex projective spaces F. E. Burstall Introduction A map φ : M → N of Riemannian manifolds is harmonic if it extremises the energy functional:…
REVISTA DE LA UNIÓN MATEMÁTICA ARGENTINA Volumen 47 Número 2 2006 Páginas 1–22 A SHORT SURVEY ON BIHARMONIC MAPS BETWEEN RIEMANNIAN MANIFOLDS S MONTALDO AND C ONICIUC…
THE LAVRENTIEV GAP PHENOMENON FOR HARMONIC MAPS INTO SPHERES HOLDS ON A DENSE SET OF ZERO DEGREE BOUNDARY DATA KATARZYNA MAZOWIECKA PAWE L STRZELECKI Abstract. We prove that…
COMBINATORIAL HARMONIC MAPS AND CONVERGENCE TO CONFORMAL MAPS I: A HARMONIC CONJUGATE SA’AR HERSONSKY Abstract In this paper we provide new discrete uniformization theorems…