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arXiv · 1609.04668

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

Paul M. N. Feehan
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Abstract

We extend the well-known Sacks-Uhlenbeck energy gap result (1981) 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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Paul M. N. Feehan. 2018-02-01. Relative energy gap for harmonic maps of Riemann surfaces into real analytic Riemannian manifolds. https://doi.org/10.1090/proc%2F14013

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