A geometric theory of harmonic and semi-conformal maps
classification
🧮 math.DG
math.CT
keywords
mapsanalyzedharmonicneighbourhoodspreservesemi-conformalthosecertain
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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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