Geodesic
On Riemann extension of the Schwarzschild metric
Buletinul Academiei de Ştiinţe a Republicii Moldova. Matematica, no. 3 (2003), pp. 92-103 
V. Driuma. On Riemann extension of the Schwarzschild metric. Buletinul Academiei de Ştiinţe a Republicii Moldova. Matematica, no. 3 (2003), pp. 92-103. http://geodesic.mathdoc.fr/item/BASM_2003_3_a8/
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     url = {http://geodesic.mathdoc.fr/item/BASM_2003_3_a8/}
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Voir la notice de l'article provenant de la source Math-Net.Ru

The properties of the Riemann extension of the Schwarzschild metric are studied.

[1] Paterson E. M., Walker A. G., “Riemann extensions”, Quart. J. Math. Oxford, 3 (1952), 19–28 | DOI | MR

[2] “The Riemann Extension in theory of differential equations their applications”, Matematicheskaya fizika, analiz, geometriya, 10:3 (2003), 1–19 | MR

[3] Dryuma V., “The Invariants, the Riemann and Einstein-Weyl geometry in theory of ODE's and all that”, NATO Proceedings, NEEDS'14 (Cadiz, Spain, 2003)

[4] Dryuma V., “Applications of Riemannian and Einstein-Weyl Geometry in the theory of second order ordinary differential equations”, Theoretical and Mathematical Physics, 128:1 (2001), 845–855 | DOI | MR | Zbl

[5] Bogorodskii A. F., The Einstein field equations and their applications in astronomy, Kiev, 1962 (in Russian)