Geodesic
On geodesic definiteness by similarity points
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 Vyacheslav Timofeevich Bazylev. Moscow, April 22-25, 2019. Part 4, Tome 182 (2020), pp. 19-27

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In this paper, we present some results obtained in the theory of geodesic mappings of surfaces. It is well known that a mapping that is both conformal and geodesic is homothetic. Based on this property, we obtain new results on the definiteness of surfaces with respect to geodesic mappings, which generalize results obtained by V. T. Fomenko.
Keywords: geodesic mapping, conformal mapping, pseudo-Riemannian space, Riemannian space, definiteness.
Mots-clés : surface 
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     title = {On geodesic definiteness by similarity points},
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I. Hinterleitner; N. I. Guseva; J. Mikeš. On geodesic definiteness by similarity points. 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 Vyacheslav Timofeevich Bazylev. Moscow, April 22-25, 2019. Part 4, Tome 182 (2020), pp. 19-27. http://geodesic.mathdoc.fr/item/INTO_2020_182_a3/