A geometric theory of harmonic and semi-conformal maps

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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.
20 pages

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Differential Geometry, Category Theory, 51K10; 53A30, 53C43

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http://salesiana.dossiersoluciones.com/handle/123456789/67783

Consulte el texto completo en el siguiente enlace:

https://arxiv.org/abs/math/0306203
 http://arxiv.org/abs/math/0306203

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arXiv