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Relativistic Mechanics of Constant Curvature

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We consider an inverse variational problem for the lines of constant curvature in (pseudo-)Euclidean two-, three-, and four-dimensional spaces. The accumulated results are physically meaningful in the case of relativistic mechanics of particles.

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References

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Authors and Affiliations

  1. Pidstryhach Institute for Applied Problems in Mechanics and Mathematics, National Academy of Sciences of Ukraine, Lviv, Ukraine, Lepage Research Institute, Prešov, Slovakia

    R. Ya. Matsyuk

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  1. R. Ya. Matsyuk
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Correspondence to R. Ya. Matsyuk.

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Translated from Matematychni Metody ta Fizyko-Mekhanichni Polya, Vol. 61, No. 1, pp. 101–115, January–March, 2018.

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Matsyuk, R.Y. Relativistic Mechanics of Constant Curvature. J Math Sci 249, 424–445 (2020). https://doi.org/10.1007/s10958-020-04951-6

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  • DOI: https://doi.org/10.1007/s10958-020-04951-6

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