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- W3090291925 abstract "Let $varphiin C^0 cap W^{1,2}(Sigma, X)$ where $Sigma$ is a compact Riemann surface, $X$ is a compact locally CAT(1) space, and $W^{1,2}(Sigma,X)$ is defined as in Korevaar-Schoen. We use the technique of harmonic replacement to prove that either there exists a harmonic map $u:Sigma to X$ homotopic to $varphi$ or there exists a conformal harmonic map $v:mathbb S^2 to X$. To complete the argument, we prove compactness for energy minimizers and a removable singularity theorem for conformal harmonic maps." @default.
- W3090291925 created "2020-10-08" @default.
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- W3090291925 date "2020-01-01" @default.
- W3090291925 modified "2023-09-30" @default.
- W3090291925 title "Existence of harmonic maps into CAT(1) spaces" @default.
- W3090291925 doi "https://doi.org/10.4310/cag.2020.v28.n4.a2" @default.
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