A geometric theory of harmonic and semi-conformal maps

2003/06/12 by Anders Kock, Kock, Anders
Mathematics · #51K10 #53A30 #53C43 #Category Theory (math.CT) #Differential Geometry (math.DG) #FOS: Mathematics #math.CT #math.DG #msc:51K10 #msc:53A30 #msc:53C43

paper · pdf · doi:10.48550/arxiv.math/0306203

20 pages

arxiv created 2003/06/12 · arxiv updated 2009/11/30

Abstract

We describe for any Riemannian manifold a certain infinitesimal neighbourhood of the diagonal. Semi-conformal maps are analyzed as those that preserve such neighbourhoods; harmonic maps are analyzed as those that preserve mirror image formation for pairs of points in such neighbourhoods.

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