On geodesic bifurcations of product spaces
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....
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| Published in: | Український математичний вісник |
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| Date: | 2018 |
| Main Authors: | , , |
| Format: | Article |
| Language: | English |
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Інститут прикладної математики і механіки НАН України
2018
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| Online Access: | https://nasplib.isofts.kiev.ua/handle/123456789/169402 |
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| Journal Title: | Digital Library of Periodicals of National Academy of Sciences of Ukraine |
| Cite this: | 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. |
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Digital Library of Periodicals of National Academy of Sciences of Ukraine| _version_ | 1862736568778752000 |
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| author | Ryparova, L. Mikes, J. Sabykanov, A. |
| author_facet | Ryparova, L. Mikes, J. Sabykanov, A. |
| citation_txt | 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. |
| collection | DSpace DC |
| container_title | Український математичний вісник |
| description | 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.
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| first_indexed | 2025-12-07T19:54:39Z |
| format | Article |
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| id | nasplib_isofts_kiev_ua-123456789-169402 |
| institution | Digital Library of Periodicals of National Academy of Sciences of Ukraine |
| issn | 1810-3200 |
| language | English |
| last_indexed | 2025-12-07T19:54:39Z |
| publishDate | 2018 |
| publisher | Інститут прикладної математики і механіки НАН України |
| record_format | dspace |
| spelling | Ryparova, L. Mikes, J. Sabykanov, A. 2020-06-12T15:41:31Z 2020-06-12T15:41:31Z 2018 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. 1810-3200 2010 MSC. 53A05, 53B21, 53B30, 53B35, 53C22 https://nasplib.isofts.kiev.ua/handle/123456789/169402 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. Research supported by IGA PrF 2018012 at Palacky University Olomouc, and by specific university research at Brno University of Technology FAST-S-18-5184. en Інститут прикладної математики і механіки НАН України Український математичний вісник On geodesic bifurcations of product spaces Article published earlier |
| spellingShingle | On geodesic bifurcations of product spaces Ryparova, L. Mikes, J. Sabykanov, A. |
| title | On geodesic bifurcations of product spaces |
| title_full | On geodesic bifurcations of product spaces |
| title_fullStr | On geodesic bifurcations of product spaces |
| title_full_unstemmed | On geodesic bifurcations of product spaces |
| title_short | On geodesic bifurcations of product spaces |
| title_sort | on geodesic bifurcations of product spaces |
| url | https://nasplib.isofts.kiev.ua/handle/123456789/169402 |
| work_keys_str_mv | AT ryparoval ongeodesicbifurcationsofproductspaces AT mikesj ongeodesicbifurcationsofproductspaces AT sabykanova ongeodesicbifurcationsofproductspaces |