Jordan homomorphisms and harmonic mappings

نویسندگان

  • Andrea Blunck
  • Hans Havlicek
چکیده

We show that each Jordan homomorphism R→ 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. Mathematics Subject Classification (2000): 51C05, 51B05, 17C50.

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تاریخ انتشار 2002