FUNDAMENTALNAYA I PRIKLADNAYA MATEMATIKA

(FUNDAMENTAL AND APPLIED MATHEMATICS)

2005, VOLUME 11, NUMBER 1, PAGES 85-92

Two-dimensional pseudo-Riemannian metrics reconstructed by a given curvature

E. R. Rozendorn
D. D. Sokoloff

Abstract

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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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Last modified: April 27, 2005