Harmonic 2-spheres with r pairs of extra eigenfunctions

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Abstract

In the present paper, deformations of harmonic 2-spheres in the unit n-sphere Sn respecting the degree are studied. The limit maps of such deformations are characterized as harmonic maps with extra eigenfunctions. The space Harmd(s2, Sn) of harmonic 2-spheres in Sn with fixed degree d is described in terms of such deformations and the limit maps.

Original languageEnglish
Pages (from-to)2083-2092
Number of pages10
JournalProceedings of the American Mathematical Society
Volume125
Issue number7
DOIs
Publication statusPublished - 1997
Externally publishedYes

Keywords

  • Extra eigenfunctions
  • Harmonic 2-spheres
  • Null curves

ASJC Scopus subject areas

  • Mathematics(all)
  • Applied Mathematics

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