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

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

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 of such a metric in a coordinate quadrant. Possible applications of...

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Veröffentlicht in:Journal of mathematical sciences (New York, N.Y.) N.Y.), 2007-02, Vol.141 (1), p.965-969
Hauptverfasser: Rozendorn, E. R., Sokoloff, D. D.
Format: Artikel
Sprache:eng
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Zusammenfassung: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 of such a metric in a coordinate quadrant. Possible applications of results obtained are discussed.
ISSN:1072-3374
1573-8795
DOI:10.1007/s10958-007-0025-5