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On singularities of the Galilean spherical darboux ruled surface of a space curve in G₃
We study the singularities of Galilean height functions intrinsically related to the Frenet frame along a curve embedded into the Galilean space. We establish the relationships between the singularities of the discriminant and the sets of bifurcations of the function and geometric invariants of curv...
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Інститут математики НАН України
2010
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| Series: | Український математичний журнал |
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| Online Access: | http://dspace.nbuv.gov.ua/handle/123456789/166306 |
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irk-123456789-1663062020-02-20T01:26:07Z On singularities of the Galilean spherical darboux ruled surface of a space curve in G₃ Sahin, T. Yilmaz, M. Статті We study the singularities of Galilean height functions intrinsically related to the Frenet frame along a curve embedded into the Galilean space. We establish the relationships between the singularities of the discriminant and the sets of bifurcations of the function and geometric invariants of curves in the Galilean space. Досліджено особливості галілеївських функцій висоти, що внутрішньо пов'язані із рамкою Френе вздовж кривої, вкладеної у галілеївський простір. Встановлено співвідношення між особливостями множини дискримінантів та множини біфуркацій функції і геометричними інваріантами кривих у галілеївському просторі. 2010 Article On singularities of the Galilean spherical darboux ruled surface of a space curve in G 3 / T. Sahin, M. Yilmaz // Український математичний журнал. — 2010. — Т. 62, № 10. — С. 1377–1387. — Бібліогр.: 21 назв. — англ. 1027-3190 http://dspace.nbuv.gov.ua/handle/123456789/166306 517.9 en Український математичний журнал Інститут математики НАН України |
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Digital Library of Periodicals of National Academy of Sciences of Ukraine |
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DSpace DC |
| language |
English |
| topic |
Статті Статті |
| spellingShingle |
Статті Статті Sahin, T. Yilmaz, M. On singularities of the Galilean spherical darboux ruled surface of a space curve in G₃ Український математичний журнал |
| description |
We study the singularities of Galilean height functions intrinsically related to the Frenet frame along a curve embedded into the Galilean space. We establish the relationships between the singularities of the discriminant and the sets of bifurcations of the function and geometric invariants of curves in the Galilean space. |
| format |
Article |
| author |
Sahin, T. Yilmaz, M. |
| author_facet |
Sahin, T. Yilmaz, M. |
| author_sort |
Sahin, T. |
| title |
On singularities of the Galilean spherical darboux ruled surface of a space curve in G₃ |
| title_short |
On singularities of the Galilean spherical darboux ruled surface of a space curve in G₃ |
| title_full |
On singularities of the Galilean spherical darboux ruled surface of a space curve in G₃ |
| title_fullStr |
On singularities of the Galilean spherical darboux ruled surface of a space curve in G₃ |
| title_full_unstemmed |
On singularities of the Galilean spherical darboux ruled surface of a space curve in G₃ |
| title_sort |
on singularities of the galilean spherical darboux ruled surface of a space curve in g₃ |
| publisher |
Інститут математики НАН України |
| publishDate |
2010 |
| topic_facet |
Статті |
| url |
http://dspace.nbuv.gov.ua/handle/123456789/166306 |
| citation_txt |
On singularities of the Galilean spherical darboux ruled surface of a space curve in G 3 / T. Sahin, M. Yilmaz // Український математичний журнал. — 2010. — Т. 62, № 10. — С. 1377–1387. — Бібліогр.: 21 назв. — англ. |
| series |
Український математичний журнал |
| work_keys_str_mv |
AT sahint onsingularitiesofthegalileansphericaldarbouxruledsurfaceofaspacecurveing3 AT yilmazm onsingularitiesofthegalileansphericaldarbouxruledsurfaceofaspacecurveing3 |
| first_indexed |
2023-10-18T22:18:08Z |
| last_indexed |
2023-10-18T22:18:08Z |
| _version_ |
1796155159869390848 |