Harmonic Maps between Riemannian Polyhedra

By J. Eells, Bent Fuglede, Misha Gromov. 2001

151 citations recorded by the source corpus.

View Paper: https://www.semanticscholar.org/paper/772f1180e2df5fa8759a57c4ff49863f75b9b6c9

How researchers see this paper

The researchers whose trusted networks rank it highest, strongest advocate first. Every researcher gets a different order.

Citations in the corpus

Neumann and Dirichlet Heat Kernels in Inner Uniform Domains (2011, background): “For an excellent treatment of this type of spaces from a point of view closely related to ours, see [35].”
Sobolev Mappings between Manifolds and Metric Spaces (2009, background): “Other papers on Sobolev mappings from a manifold into a metric space include [12, 17, 49, 50, 51, 52, 70, 76].”
The Nitsche conjecture (2009, unknown): “on one may set up the classes H (A;A) and H(A;A) for mappings between doubly connected domains A;A ˆC. Various geometric and analytic properties of harmonic mappings are discussed, e.g., in the books [5, 6, 9]. The interested reader is referred to [14] THE NITSCHE CONJECTURE 3 for related topics on ”
On weakly harmonic maps from Finsler to Riemannian manifolds (2009, methodology): “With this elegant method we can completely avoid the use of mollified Green’s functions in contrast to [9], or [5,6].”
Harmonic Morphisms between Riemannian Manifolds (2003, unknown): “Fuglede [13]); metric graphs (H.”
Nonlinear martingale theory for processes with values in metric spaces of nonpositive curvature (2002, methodology): “Following the proof of Jensen’s inequality on global NPC spaces by Eells and Fuglede (2001) we obtain the following.”
Convexities of metric spaces (2007, methodology): “This extends the results in [EF], [F], [KS], and [O1] to maps into a much wider class of metric spaces, for target spaces admit not only positive cuvatures, but also Finsler structures.”
Random walk in random groups (2003, background): “If Y is CAT(0), then the maps Hf0, for every f0 of finite energy, are Lipschitz in a controlled way and if, for example, Y/Γ is compact, or Y/Γ′ is compact for some Γ′ ⊃ Γ, then the existence of harmonic f∞ follows by the straightforward compactness argument (see [EF] and references therein).”