On Geodesic Definiteness by Similarity Points

被引：0
作者：
Hinterleitner I. [1 ]
Guseva N.I. [2 ,3 ]
Mikeš J. [4 ]
机构：
[1] Brno University of Technology, Brno
[2] Moscow Pedagogical State University, Moscow
[3] Russian Institute for Scientific and Technical Information of the Russian Academy of Sciences, Moscow
[4] Palacký University Olomouc, Olomouc
来源：
Journal of Mathematical Sciences | 2023年 / 277卷 / 5期
关键词：
11Y11; 53B05; 53B20; 53B22; conformal mapping; definiteness; geodesic mapping; pseudo-Riemannian space; Riemannian space; surface;
D O I：
10.1007/s10958-023-06879-z
中图分类号：
学科分类号：
摘要：
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. © 2023, Springer Nature Switzerland AG.
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页码：727 / 735
页数：8
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