Geodesic
The Riemann--Hilbert Problem on a~Compact Riemannian Surface
Trudy Matematicheskogo Instituta imeni V.A. Steklova, Monodromy in problems of algebraic geometry and differential equations, Tome 238 (2002), pp. 55-69

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In this brief survey, we present recent results, known and new, on the Riemann–Hilbert problem on a compact Riemannian surface of an arbitrary genus. 
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     author = {A. A. Bolibrukh},
     title = {The {Riemann--Hilbert} {Problem} on {a~Compact} {Riemannian} {Surface}},
     journal = {Trudy Matematicheskogo Instituta imeni V.A. Steklova},
     pages = {55--69},
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     year = {2002},
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     url = {http://geodesic.mathdoc.fr/item/TM_2002_238_a1/}
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A. A. Bolibrukh. The Riemann--Hilbert Problem on a~Compact Riemannian Surface. Trudy Matematicheskogo Instituta imeni V.A. Steklova, Monodromy in problems of algebraic geometry and differential equations, Tome 238 (2002), pp. 55-69. http://geodesic.mathdoc.fr/item/TM_2002_238_a1/