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Almost Geodesic Mappings and Projections of the Sphere

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References

  1. A. Z. Petrov, New Methods in Relativity Theory (Nauka, Moscow, 1966) [in Russian].

    Google Scholar 

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

    MATH  Google Scholar 

  3. J. Mikeš, E. Stepanova, A. Vanžurová, et al., Differential Geometry of Special Mappings (Palacky Univ. Press, Olomouc, 2015).

    MATH  Google Scholar 

  4. J. Mikeš, J. Math. Sci. (N. Y.) 78 (3), 311 (1996).

    Article  Google Scholar 

  5. J. Mikeš, J. Math. Sci. (N. Y.) 89 (3), 1334 (1998).

    Article  Google Scholar 

  6. J. Mikeš and I. Hinterleitner, J. Math. Sci. (N. Y.) 174 (5), 537 (2011).

    Article  Google Scholar 

  7. S. E. Stepanov, I. G. Shandra, and J. Mikeš, J. Math. Sci. (N. Y.) 207 (4), 658 (2015).

    Article  MathSciNet  Google Scholar 

  8. I. Mikeš, V. E. Berezovskii, E. Stepanova, and H. Chudá, J. Math. Sci. (N. Y.) 217 (5), 607 (2016).

    Article  MathSciNet  Google Scholar 

  9. N. S. Sinyukov, Dokl. Akad. Nauk SSSR 151 (4), 781 (1963).

    MathSciNet  Google Scholar 

  10. N. S. Sinyukov, Math. Notes 7 (4), 272 (1970).

    Article  MathSciNet  Google Scholar 

  11. V. S. Sobchuk, Math. Notes 17 (5), 450 (1975).

    Article  Google Scholar 

  12. N. S. Sinyukov, J. Soviet Math. 25 (4), 1235 (1984).

    Article  Google Scholar 

  13. V. S. Sobchuk, J. Mikeš, and O. Pokorná, Novi Sad J. Math. 9 (3), 309 (1999).

    Google Scholar 

  14. V. Berezovskii and J. Mikeš, J. Math. Sci. (N. Y.) 207 (3), 389 (2015).

    Article  MathSciNet  Google Scholar 

  15. H. Vavříková, J. Mikeš, O. Pokorná, and G. Starko, Russian Math. (Iz. VUZ) 51 (1), 8 (2007).

    Article  MathSciNet  Google Scholar 

  16. V. Berezovski, J. Mikeš, and A. Vanžurová, Bull. Malays. Math. Sci. Soc. (2) 37 (3), 647 (2014).

    MathSciNet  Google Scholar 

  17. V. Berezovski, S. Bácsó, and J. Mikeš, Ann. Math. Inform. 45, 3 (2015).

    MathSciNet  Google Scholar 

  18. V. E. Berezovskii, N. I. Guseva, and J. Mikeš, Math. Notes 98 (3), 515 (2015).

    Article  MathSciNet  Google Scholar 

  19. M. S. Stanković, M. L. Zlatanovi\. c, and N. O. Vesić, Czechoslovak Math. J. 65 (140) (3), 787 (2015).

    Article  Google Scholar 

  20. N. O. Vesić, Lj. S. Velimirović, and M. S. Stanković, Mediterr. J. Math. 13 (6), 4581 (2016).

    Article  MathSciNet  Google Scholar 

  21. V. E. Berezovskii, J. Mikeš, H. Chudá, and O. Y. Chepurna, Russian Math. (Iz. VUZ) 61 (6), 1 (2017).

    Article  MathSciNet  Google Scholar 

  22. M. Z. Petrović and M. S. Stanković, Bull. Malays. Math. Sci. Soc. 40 (3), 1353 (2017).

    Article  MathSciNet  Google Scholar 

  23. V. Berezovski, J. Mikeš, L. Rýparová, and A. Sabykanov, Mathematics 8 (1), 54 (2020).

    Article  Google Scholar 

  24. V. Berezovski, Y. Cherevko, J. Mikeš, and L. Rýparová, Mathematics 9 (4), 437 (2021).

    Article  Google Scholar 

  25. A. Kozak and A. Borowiec, Eur. Phys. J. C 79 (4), 335 (2019).

    Article  Google Scholar 

  26. J. Mikeš, N. I. Guseva, P. Peška, and L. Rýparová, Math. Notes 110 (1), 152 (2021).

    Article  Google Scholar 

  27. J. Mikeš, Dokl. Math. 39 (2), 315 (1989).

    MathSciNet  Google Scholar 

  28. E. N. Sinyukova and O. L. Chepok, Math. Stat. 8 (6), 693 (2020).

    Article  Google Scholar 

  29. O. Belova, J. Mikeš, and K. Strambach, Results Math. 73 (4), 154 (2018).

    Article  Google Scholar 

  30. O. Belova and J. Mikeš, Results Math. 75 (3), 127 (2020).

    Article  Google Scholar 

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Funding

This work was supported in part by the International Grenfell Association, Faculty of Science, grant no. 2021030 “Mathematical Structures” of the Palacký University and by the Faculty of Civil Engineering, Brno University of Technology, research grant no. FAST-S-20-6294.

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Correspondence to J. Mikeš.

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Translated from Matematicheskie Zametki, 2022, Vol. 111, pp. 476-480 https://doi.org/10.4213/mzm13449.

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Mikeš, J., Guseva, N.I., Peška, P. et al. Almost Geodesic Mappings and Projections of the Sphere. Math Notes 111, 498–502 (2022). https://doi.org/10.1134/S0001434622030178

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