Existence of harmonic maps into CAT(1) spaces

Christine Breiner, Ailana Fraser, Lan-Hsuan Huang +3

Let $\phi \in C^0\cap W^{1,2}(\Sigma ,X)$ 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 tec…