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A geometric theory of harmonic and semi-conformal maps

Anders Kock
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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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Anders Kock. 2003-06-12. A geometric theory of harmonic and semi-conformal maps. https://arxiv.org/abs/math/0306203

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