Almost geodesic curves and~geodesic mappings

L. Ryparova ; J. Mikeš ; P. Peška

Itogi nauki i tehniki. Sovremennaâ matematika i eë priloženiâ. Tematičeskie obzory, 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, Tome 221 (2023), pp. 93-103.

Résumé

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.

Détail

Keywords: almost geodesic curve, geodesic mapping
Mots-clés : projective transformation.

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