Itogi Nauki i Tekhniki. Sovremennaya Matematika i ee Prilozheniya. Tematicheskie Obzory
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Itogi Nauki i Tekhniki. Sovremennaya Matematika i ee Prilozheniya. Tematicheskie Obzory, 2023, Volume 221, Pages 93–103
DOI: https://doi.org/10.36535/0233-6723-2023-221-93-103 (Mi into1132) 		 
Almost geodesic curves and geodesic mappings

L. Ryparova, J. Mikeš, P. Peška

Palacký University Olomouc
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DOI: https://doi.org/10.36535/0233-6723-2023-221-93-103
Abstract: In this paper, we present some results obtained for almost geodesic curves and geodesic mappings and transformations. We prove that a mapping under which all almost geodesic curves pass to almost geodesic curves is geodesic. Under geodesic mappings and transformations, almost geodesic curves are preserved.
Keywords: almost geodesic curve, geodesic mapping, projective transformation.
Funding agency Grant number
International Grenfell Association IGA PrF 2022017
This work was supported by the grant «Algebraic and geometric structures» of the Palacký University in Olomouc (project IGA PrF 2022017).
Document Type: Article
UDC: 514.76
MSC: 53B05, 53A05
Language: Russian
Citation: L. Ryparova, J. Mikeš, P. Peška, “Almost geodesic curves and geodesic mappings”, Proceedings of the International Conference «Classical and Modern Geometry» dedicated to the 100th anniversary of the birth of Professor Levon Sergeyevich Atanasyan (July 15, 1921—July 5, 1998).  Moscow, November 1–4, 2021. Part 2, Itogi Nauki i Tekhniki. Sovrem. Mat. Pril. Temat. Obz., 221, VINITI, Moscow, 2023, 93–103
Citation in format AMSBIB
\Bibitem{RypMikPes23}
\by L.~Ryparova, J.~Mike{\v s}, P.~Pe{\v s}ka
\paper Almost geodesic curves and~geodesic mappings
\inbook Proceedings of the International Conference «Classical and Modern Geometry» dedicated to the 100th anniversary of the birth of Professor Levon Sergeyevich Atanasyan (July 15, 1921—July 5, 1998).  Moscow, November 1–4, 2021. Part 2
\serial Itogi Nauki i Tekhniki. Sovrem. Mat. Pril. Temat. Obz.
\yr 2023
\vol 221
\pages 93--103
\publ VINITI
\publaddr Moscow
\mathnet{http://mi.mathnet.ru/into1132}
\crossref{https://doi.org/10.36535/0233-6723-2023-221-93-103}
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