On the construction of harmonic and holomorphic maps between surfaces
type: Item
instance of: scholarly article
title: On the construction of harmonic and holomorphic maps between surfaces
zbMATH Open document ID: 0424.31009
DOI: 10.1007/BF01420211
published in: Mathematische Annalen
publication date: 1980-01-01T00:00:00Z
full work available at URL: https://eudml.org/doc/163444
Mathematics Subject Classification ID: 31C12
Mathematics Subject Classification ID: 53C20
Mathematics Subject Classification ID: 55P15
zbMATH DE Number: 3659955
zbMATH Keywords: harmonic and holomorphic maps
zbMATH Keywords: Gauss map
zbMATH Keywords: maps from surfaces to spheres
zbMATH Keywords: compact Riemannian manifolds
zbMATH Keywords: homotopy classes
author: J. Eells
author: Luc Lemaire
MaRDI profile type: Publication
cites work: Some interior regularity theorems for minimal surfaces and an extension of Bernstein's theorem
cites work: On Minimal Immersions of S 2 Into S 2m
cites work: On the Homotopy Classification of the Extensions of a Fixed Map
cites work: Lectures on geodesics in Riemannian geometry
cites work: Sulla geometria differenziale delle superficie \(S_2\) nello spazio euclidio \(S_4\)
cites work: Minimal immersions of surfaces in Euclidean spheres
cites work: A theorem on orientable surfaces in four-dimensional space
cites work: Deformation of maps to branched coverings in dimension two
cites work: Harmonic Mappings of Riemannian Manifolds
cites work: A Report on Harmonic Maps
cites work: Restrictions on harmonic maps of surfaces
cites work: On the fundamental group of a compact minimal submanifolds
cites work: A Theory of Branched Immersions of Surfaces
cites work: Interior Mapping of an Orientable Surface into S 2
cites work: On minimal immersions of \(R^2\) into \(S^n\)
cites work: Q5731354
cites work: Complete minimal surfaces in \(S^ 3\)
cites work: Q4061633
cites work: Harmonic mappings of uniform bounded dilatation
cites work: Applications harmoniques de surfaces riemanniennes
cites work: Harmonic Nonholomorphic Maps from a Surface to a Sphere
cites work: A Totally Real Surface in CP 2 that is not Totally Geodesic
cites work: The problem of Plateau on a Riemannian manifold
cites work: Q5518064
cites work: On mappings into spaces in which certain homotopy groups vanish
cites work: Mappings of manifolds and the notion of degree
cites work: Cocycle Formulas for Homotopy Classification; Maps into Projective and Lens Spaces
cites work: The Tension Field of the Gauss Map
cites work: The existence of minimal immersions of two-spheres
cites work: Some properties and applications of harmonic mappings
cites work: Existence of incompressible minimal surfaces and the topology of three dimensional manifolds with non-negative scalar curvature
cites work: Harmonic mappings of spheres
cites work: Ein einfacher Beweis eines Regularitätssatzes für schwache Lösungen gewisser elliptischer Systeme
cites work: Singularities of Harmonic Maps and Applications of the Gauss-Bonnet Formula
cites work: Holomorphicity of Certain Harmonic Maps from a Surface to Complex Projective n -Space
cites work: Q3871497
OpenAlex ID: W2087624950
description: scientific article; zbMATH DE number 3659955