On geodesic bifurcations of product spaces
- Авторы: Rýparová L.1, Mikeš J.1, Sabykanov A.2
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Учреждения:
- Department of Algebra and Geometry, Palacky University Olomouc
- Department of Geometry, Kyrgyz National University
- Выпуск: Том 239, № 1 (2019)
- Страницы: 86-91
- Раздел: Article
- URL: https://bakhtiniada.ru/1072-3374/article/view/242630
- DOI: https://doi.org/10.1007/s10958-019-04290-1
- ID: 242630
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Аннотация
The bifurcation is described as a situation where there exist at least two different geodesics going through the given point in the given direction. In the previous works, the examples of local and closed bifurcations are constructed. This paper is devoted to the further study of these bifurcations. We construct an example of n-dimensional (pseudo-) Riemannian and Kählerian spaces which are product ones that admit a local bifurcation of geodesics and also a closed geodesic.
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Об авторах
Lenka Rýparová
Department of Algebra and Geometry, Palacky University Olomouc
Автор, ответственный за переписку.
Email: lenka.ryparova01@upol.cz
Чехия, Olomouc
Josef Mikeš
Department of Algebra and Geometry, Palacky University Olomouc
Email: lenka.ryparova01@upol.cz
Чехия, Olomouc
Almaz Sabykanov
Department of Geometry, Kyrgyz National University
Email: lenka.ryparova01@upol.cz
Киргизия, Bishkek
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