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.

Location: http://mech.math.msu.su/~fpm/eng/k05/k051/k05103h.htm

Last modified: April 27, 2005