A geometric theory of harmonic and semi-conformal maps

Details A geometric theory of harmonic and semi-conformal maps A geometric theory of harmonic and semi-conformal maps

2003-06-12

arxiv.org/abs/math/0306203v1

Mathematics

Differential Geometry

20 pages

Scientific paper

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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