Ruled Surfaces as Pseudospherical Congruences
Two-dimensional ruled surfaces in the spaces of constant curvature Rⁿ, Sⁿ, Hn and in the Riemannian products Sⁿ x R¹, Hⁿ x R¹ are considered. A ruled surface is proved to represent a pseudospherical congruence if and only if it is either an intrinsically flat surface in Sⁿ, or an intrinsically flat...
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| Published in: | Журнал математической физики, анализа, геометрии |
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| Date: | 2009 |
| Main Authors: | , |
| Format: | Article |
| Language: | English |
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Фізико-технічний інститут низьких температур ім. Б.І. Вєркіна НАН України
2009
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| Online Access: | https://nasplib.isofts.kiev.ua/handle/123456789/106548 |
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| Journal Title: | Digital Library of Periodicals of National Academy of Sciences of Ukraine |
| Cite this: | Ruled Surfaces as Pseudospherical Congruences / V.O. Gorkavyy,. O.M. Nevmerzhitska // Журнал математической физики, анализа, геометрии. — 2009. — Т. 5, № 4. — С. 359-374. — Бібліогр.: 7 назв. — англ. |
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Gorkavyy, V.O. Nevmerzhitska, O.M. 2016-09-30T08:22:44Z 2016-09-30T08:22:44Z 2009 Ruled Surfaces as Pseudospherical Congruences / V.O. Gorkavyy,. O.M. Nevmerzhitska // Журнал математической физики, анализа, геометрии. — 2009. — Т. 5, № 4. — С. 359-374. — Бібліогр.: 7 назв. — англ. 1812-9471 https://nasplib.isofts.kiev.ua/handle/123456789/106548 Two-dimensional ruled surfaces in the spaces of constant curvature Rⁿ, Sⁿ, Hn and in the Riemannian products Sⁿ x R¹, Hⁿ x R¹ are considered. A ruled surface is proved to represent a pseudospherical congruence if and only if it is either an intrinsically flat surface in Sⁿ, or an intrinsically flat surface with constant extrinsic curvature in Sⁿ x R¹. en Фізико-технічний інститут низьких температур ім. Б.І. Вєркіна НАН України Журнал математической физики, анализа, геометрии Ruled Surfaces as Pseudospherical Congruences Article published earlier |
| institution |
Digital Library of Periodicals of National Academy of Sciences of Ukraine |
| collection |
DSpace DC |
| title |
Ruled Surfaces as Pseudospherical Congruences |
| spellingShingle |
Ruled Surfaces as Pseudospherical Congruences Gorkavyy, V.O. Nevmerzhitska, O.M. |
| title_short |
Ruled Surfaces as Pseudospherical Congruences |
| title_full |
Ruled Surfaces as Pseudospherical Congruences |
| title_fullStr |
Ruled Surfaces as Pseudospherical Congruences |
| title_full_unstemmed |
Ruled Surfaces as Pseudospherical Congruences |
| title_sort |
ruled surfaces as pseudospherical congruences |
| author |
Gorkavyy, V.O. Nevmerzhitska, O.M. |
| author_facet |
Gorkavyy, V.O. Nevmerzhitska, O.M. |
| publishDate |
2009 |
| language |
English |
| container_title |
Журнал математической физики, анализа, геометрии |
| publisher |
Фізико-технічний інститут низьких температур ім. Б.І. Вєркіна НАН України |
| format |
Article |
| description |
Two-dimensional ruled surfaces in the spaces of constant curvature Rⁿ, Sⁿ, Hn and in the Riemannian products Sⁿ x R¹, Hⁿ x R¹ are considered. A ruled surface is proved to represent a pseudospherical congruence if and only if it is either an intrinsically flat surface in Sⁿ, or an intrinsically flat surface with constant extrinsic curvature in Sⁿ x R¹.
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| issn |
1812-9471 |
| url |
https://nasplib.isofts.kiev.ua/handle/123456789/106548 |
| fulltext |
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| citation_txt |
Ruled Surfaces as Pseudospherical Congruences / V.O. Gorkavyy,. O.M. Nevmerzhitska // Журнал математической физики, анализа, геометрии. — 2009. — Т. 5, № 4. — С. 359-374. — Бібліогр.: 7 назв. — англ. |
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| first_indexed |
2025-11-24T04:09:36Z |
| last_indexed |
2025-11-24T04:09:36Z |
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1850842060876152832 |