Constructions of harmonic polynomial maps between spheres

Hillel Gauchman, Gabor Toth

Research output: Contribution to journalArticlepeer-review

9 Scopus citations


The complexity of λq-eigenmaps, i.e. homogeneous degree q harmonic polynomial maps f:Sm →Sn, increases fast with the degree q and the source dimension m. Here we introduce a variety of methods of manufacturing new eigenmaps out of old ones. They include degree and source dimension raising operators. As a byproduct, we get estimates on the possible range dimensions of full eigenmaps and obtain a geometric insight of the harmonic product of λ2-eigenmaps.

Original languageEnglish (US)
Pages (from-to)57-79
Number of pages23
JournalGeometriae Dedicata
Issue number1
StatePublished - Mar 1994

All Science Journal Classification (ASJC) codes

  • Geometry and Topology


  • Mathematics Subject Classification (1991): 58E20


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