Harmonic Maps: Selected Papers of James Eells and Collaborators
These original research papers, written during a period of over a quarter of a century, have two main objectives. The first is to lay the foundations of the theory of harmonic maps between Riemannian Manifolds, and the second to establish various existence and regularity theorems as well as the explicit constructions of such maps.
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1 with J H Sampson Harmonic mappings of Riemannian manifolds
4 with J C Wood Restrictions on harmonic maps of surfaces
5 The surfaces of Delaunay Math Intelligencer 9 1987 5357
8 with L Lemaire Deformations of metrics and associated
9 with P Baird A conservation law for harmonic maps
10 with J C Wood Maps of minimum energy
11 with J C Wood The existence and construction of certain
Examples Proc Diff Geom
1983 pp 149158 230
applications associated assume Banach space branched bundle closed compact complex complex structure component condition conformal connection Consequently consider constant construction contains continuous coordinates Corollary corresponding covering critical point curvature curves defined definition deformation denote derivatives differential EELLS embedding energy equation equivalent Euclidean Example existence fibre field follows formula function fundamental Gauss map geometry given gives harmonic maps Hermitian holomorphic map homotopy class horizontal immersion induced integral isotropic Kähler Lemaire Lemma lift Math mean method metric minimal minimal surfaces normal Note obtain operator oriented orthogonal particular positive problem projective Proof properties Proposition relative Remark represented respect result Riemann surface Riemannian manifolds SAMPSON satisfies smooth map solution space sphere Suppose symmetric tangent tensor theorem theory University values variational vector weakly Wood zero