Abstract
We prove a Schwarz type lemma for harmonic mappings between the unit disk and a geodesic line in a Riemann surface. It presents a certain extension of the Schwarz lemma for the real harmonic mappings with respect to the Euclidean metric defined on the unit disk.
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Acknowledgements
We would like to thank the anonymous referee for some corrections and remarks.
Disclosure statement
No potential conflict of interest was reported by the author.