Relative energy gap for harmonic maps of riemann surfaces into real analytic riemannian manifolds

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1 Scopus citations

Abstract

We extend the well-known Sacks-Uhlenbeck energy gap result for harmonic maps from closed Riemann surfaces into closed Riemannian manifolds from the case of maps with small energy (thus near a constant map), to the case of harmonic maps with high absolute energy but small energy relative to a reference harmonic map.

Original languageEnglish (US)
Pages (from-to)3179-3190
Number of pages12
JournalProceedings of the American Mathematical Society
Volume146
Issue number7
DOIs
StatePublished - Jul 2018

ASJC Scopus subject areas

  • Mathematics(all)
  • Applied Mathematics

Keywords

  • Harmonic maps
  • Łojasiewicz-Simon gradient inequality

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