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On local classification of geometrical quantities on the Lobachevski plane

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Abstract

In this paper, we study the local structure of geometrical quantities on the Lobachevski plane. This structure is used for the description of metric differential invariants on the Lobachevski plane.

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References

  1. N. G. Konovenko, “Classification of multidimensional geometrical quantities for the geometries of Lobachevski and de Sitter,” in: Int. Conf. Dedicated to 100th Anniversary of G. F. Laptev. Abstracts, Tver State Univ., Tver (2009), pp. 12–13.

  2. N. G. Konovenko and V. V. Lychagin, “Algebras of differential invariants in geometries of Lobachevski and de Sitter,” Dopov. Nats. Akad. Nauk Ukraïni, No. 1 (2010).

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Authors and Affiliations

  1. Odessa National Academy of Food Production Engineering, Odessa, Ukraine

    N. G. Konovenko

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  1. N. G. Konovenko
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Correspondence to N. G. Konovenko.

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Translated from Fundamentalnaya i Prikladnaya Matematika, Vol. 16, No. 2, pp. 55–59, 2010.

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Konovenko, N.G. On local classification of geometrical quantities on the Lobachevski plane. J Math Sci 177, 684–687 (2011). https://doi.org/10.1007/s10958-011-0496-2

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  • DOI: https://doi.org/10.1007/s10958-011-0496-2

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