Abstract
ABSTRACTWe study the Schwarz lemma for harmonic mappings in general setting and prove among the other results that: if is the class of harmonic mappings f of the unit disk into the geodesic disk of a Riemann surface , which is disjoint from its cut-locus with radius M satisfying some curvature restrictions, then there is a locally Lipschitz homeomorphism , convex in , with and such that for with we have for.
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