Abstract
Themetric of six-dimensional h-spaces of types [3(21)], [(32)1], [(321)] is found, and the quadratic first integrals of geodesic equations in these h-spaces are determined.
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References
A. V. Aminova, Uspekhi Matemat. Nauk 50(1), 69 (1995).
A. Z. Petrov, “On the Geodesic Mapping of Riemann Spaces of Indefinite Metric,” Uchen. Zap. Kazan. Univ. 109(3), 7 (1949).
L. P. Eisenhart, Riemannian Geometry (Princeton Univ., Princeton, 1964; Moscow, Inostrannaya Literatura, 1948).
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Original Russian Text © Z.Kh. Zakirova, 2011, published in Kratkie Soobshcheniya po Fizike, 2011, Vol. 38, No. 9, pp. 39–45.
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Zakirova, Z.K. Metrica and first integrals of geodesic equations of 6-dimensional h-spaces of types [3(21)], [(32)1], [(321)]. Bull. Lebedev Phys. Inst. 38, 270–274 (2011). https://doi.org/10.3103/S1068335611090053
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DOI: https://doi.org/10.3103/S1068335611090053