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Jordan homomorphisms and harmonic mappings

Published 31 Mar 2013 in math.AG and math.RA | (1304.0178v1)

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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Authors (2)

  1. Andrea Blunck 
  2. Hans Havlicek 

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