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 |
|---|---|
| Date: | 2009 |
| Main Authors: | , |
| Format: | Article |
| Language: | English |
| Published: |
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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Digital Library of Periodicals of National Academy of Sciences of Ukraine| _version_ | 1862532287640371200 |
|---|---|
| author | Gorkavyy, V.O. Nevmerzhitska, O.M. |
| author_facet | Gorkavyy, V.O. Nevmerzhitska, O.M. |
| 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. |
| collection | DSpace DC |
| container_title | Журнал математической физики, анализа, геометрии |
| 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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| first_indexed | 2025-11-24T04:09:36Z |
| format | Article |
| fulltext | |
| id | nasplib_isofts_kiev_ua-123456789-106548 |
| institution | Digital Library of Periodicals of National Academy of Sciences of Ukraine |
| issn | 1812-9471 |
| language | English |
| last_indexed | 2025-11-24T04:09:36Z |
| publishDate | 2009 |
| publisher | Фізико-технічний інститут низьких температур ім. Б.І. Вєркіна НАН України |
| record_format | dspace |
| spelling | 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 |
| spellingShingle | Ruled Surfaces as Pseudospherical Congruences Gorkavyy, V.O. Nevmerzhitska, O.M. |
| title | 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_short | Ruled Surfaces as Pseudospherical Congruences |
| title_sort | ruled surfaces as pseudospherical congruences |
| url | https://nasplib.isofts.kiev.ua/handle/123456789/106548 |
| work_keys_str_mv | AT gorkavyyvo ruledsurfacesaspseudosphericalcongruences AT nevmerzhitskaom ruledsurfacesaspseudosphericalcongruences |