Montel's theorem and tautness in calibrated geometry

Anton Iliashenko, Spiro Karigiannis, Jesse Madnick

We relate the hyperbolicity of a calibrated manifold $(X,\varphi )$ to the analytic properties of the space of Smith immersions $\mathrm{SmIm}(B^k,X)$ from the Poincare $k$-ball into $X…