Higgs bundles in the Hitchin section over non‐compact hyperbolic surfaces
Higgs bundles in the Hitchin section over non‐compact hyperbolic surfaces
Abstract Let be an arbitrary non‐compact hyperbolic Riemann surface, that is, not the complex plane or punctured plane. Let be , or . We show that, on a Higgs bundle in the ‐Hitchin section over , there always exists a harmonic metric satisfying certain nice properties. Moreover, when the Higgs …