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We prove the existence of horizontal Jenkins–Serrin graphs that are translating solitons of the mean curvature flow in Riemannian product manifolds . Moreover, we give examples of these graphs in the cases of and .
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Eddygledson S. Gama, Esko Heinonen, Jorge H. de Lira, Francisco Martín, The Jenkins–Serrin problem for translating horizontal graphs in . Rev. Mat. Iberoam. 37 (2021), no. 3, pp. 1083–1114DOI 10.4171/RMI/1221