Relative energy gap for harmonic maps of Riemann surfaces into real analytic Riemannian manifolds

Feehan, Paul

doi:10.1090/proc/14013

Relative energy gap for harmonic maps of Riemann surfaces into real analytic Riemannian manifolds
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by Paul M. N. Feehan PDF

Proc. Amer. Math. Soc. 146 (2018), 3179-3190 Request permission

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.

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