Eigenmaps and the space of minimal immersions between spheres

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Abstract

In 1971 DoCarmo and Wallach gave a lower bound for the dimension of the space of minimal immersions between spheres and they believed that the lower estimate was sharp. We give here a different approach using conformal fields and eigenmaps; determine the exact dimension of this space and conclude that their conjecture is true.

Original languageEnglish (US)
Pages (from-to)637-658
Number of pages22
JournalIndiana University Mathematics Journal
Volume46
Issue number2
DOIs
StatePublished - 1997

All Science Journal Classification (ASJC) codes

  • Mathematics(all)

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