Geodesic
Two-dimensional pseudo-Riemannian metrics reconstructed by a~given curvature
Fundamentalʹnaâ i prikladnaâ matematika, Tome 11 (2005) no. 1, pp. 85-92.

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The problem of reconstruction of a two-dimensional, pseudo-Riemannian metric in isotropic coordinates by a given Gaussian curvature is considered. In particular, we present sufficient conditions for the possibility of reconstruction such a metric in a coordinate quadrant. Possible applications of results obtained are discussed. 
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È. R. Rozendorn; D. D. Sokolov. Two-dimensional pseudo-Riemannian metrics reconstructed by a~given curvature. Fundamentalʹnaâ i prikladnaâ matematika, Tome 11 (2005) no. 1, pp. 85-92. http://geodesic.mathdoc.fr/item/FPM_2005_11_1_a2/

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