Geodesic
Equations for two-point correlation functions on compact Riemann surfaces
Teoretičeskaâ i matematičeskaâ fizika, Tome 88 (1991) no. 3, pp. 323-332

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The general structure of the regularized scalar Green's function on compact Riemann surfaces is investigated. Equations that relate the second (and higher) derivatives of the scalar propagator to the first derivatives are obtained. 
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     author = {S. M. Kuzenko and O. A. Solov'ev},
     title = {Equations for two-point correlation functions on compact {Riemann} surfaces},
     journal = {Teoreti\v{c}eska\^a i matemati\v{c}eska\^a fizika},
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S. M. Kuzenko; O. A. Solov'ev. Equations for two-point correlation functions on compact Riemann surfaces. Teoretičeskaâ i matematičeskaâ fizika, Tome 88 (1991) no. 3, pp. 323-332. http://geodesic.mathdoc.fr/item/TMF_1991_88_3_a0/