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Estimates of orders of groups of projective transformations of Riemannian spaces

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Literature cited

  1. T. Levi-Civita, “Sulle trasformazioni delle equazioni dinamiche,” Ann. Mat., Milano. Ser. 2, No. 24, 255–300 (1896).

    Google Scholar 

  2. G. Fubini, “Sui gruppi delle trasformazioni geodetiche,” Mem. Acc. Torino (2),53, 261–313 (1903).

    Google Scholar 

  3. A. S. Solodovnikov, “Projective transformation of Riemannian spaces,” Usp. Mat. Nauk,11, No. 4, 45–116 (1956).

    Google Scholar 

  4. A. Z. Petrov, New Methods in the General Theory of Relativity [in Russian], Nauka, Moscow (1966).

    Google Scholar 

  5. N. S. Sinyukov, Geodesic Maps of Riemannian Spaces [in Russian], Nauka, Moscow (1979).

    Google Scholar 

  6. A. Ya. Sultanov, “Automorphisms in spaces with protective connection,” Author's Abstract of Dissertation, Odessa (1982).

  7. A. V. Aminova, “Nonhomothetic projective motions in ordinary h-spaces of Lorentzian signature,” Izv. Vyssh. Uchebn. Zaved., No. 4, 3–13 (1985).

    Google Scholar 

  8. I. P. Egorov, Motions in Spaces with Affine Connection [in Russian], Kazan State Univ., (1965).

  9. I. P. Egorov, “Motions in generalized differential geometric spaces,” Itogi Nauki, Algebra. Topologiya. Geometriya [in Russian], VINITI, Moscow (1967), pp. 375–428.

    Google Scholar 

  10. L. P. Eisenhart, Riemannian Geometry [Russian translation], IL, Moscow (1948).

    Google Scholar 

  11. V. A. Kilosak and J. K. Mikesh (Mikes), “Degree of mobility of Riemannian spaces with respect to geodesic maps,” in: 8th All-Union Scientific Conference on Contemporary Problems of Differential Geometry. Abstracts of Reports [in Russian], Odessa (1984), p. 68.

  12. V. A. Kiosak, “Riemannian spaces which are maximally mobile with respect to geodesic maps,” in: 8th All-Union Scientific Conference on Contemporary Problems of Differential Geometry. Abstracts of Reports [in Russian], Odessa (1984), p. 67.

  13. I. P. Egorov, “Motions and homotheties in Riemannian spaces,” in: Proceedings of the 2nd Scientific Conference of the Povolzh' Pedagogic Institute [in Russian], Vol. 1, Kuibyshev (1962).

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Authors and Affiliations

  1. I. I. Mechnikov Odessa State University, USSR

    J. Mikeš

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  1. J. Mikeš
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Translated from Matematicheskie Zametki, Vol. 43, No. 2, pp. 256–262, February, 1988.

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Mikeš, J. Estimates of orders of groups of projective transformations of Riemannian spaces. Mathematical Notes of the Academy of Sciences of the USSR 43, 145–148 (1988). https://doi.org/10.1007/BF01152553

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  • DOI: https://doi.org/10.1007/BF01152553

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