Наукова електронна бібліотека
періодичних видань НАН України
періодичних видань НАН України
On geodesic bifurcations of product spaces
Репозиторій DSpace/Manakin
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On geodesic bifurcations of product spaces
Інший ID:
2010 MSC. 53A05, 53B21, 53B30, 53B35, 53C22
Посилання:
On geodesic bifurcations of product spaces / L. Ryparova, J. Mikes, A. Sabykanov // Український математичний вісник. — 2018. — Т. 15, № 2. — С. 264-271. — Бібліогр.: 6 назв. — англ.
Підтримка:
Research supported by IGA PrF 2018012 at Palacky University Olomouc, and by specific university research at Brno University of Technology FAST-S-18-5184.
Дата:
2018
Переглядів:
495
Завантажень:
401
Анотація:
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 Kahlerian spaces which are product ones that admit a local bifurcation of geodesics and also a closed geodesic.
