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arXiv · 1304.0178

Jordan homomorphisms and harmonic mappings

Andrea Blunck·Hans Havlicek
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Abstract

We show that each Jordan homomorphism $R\to R'$ of rings gives rise to a harmonic mapping of one connected component of the projective line over $R$ into the projective line over $R'$. If there is more than one connected component then this mapping can be extended in various ways to a harmonic mapping which is defined on the entire projective line over $R$.

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Andrea Blunck, Hans Havlicek. 2013-03-31. Jordan homomorphisms and harmonic mappings. https://doi.org/10.1007/s00605-002-0509-9

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