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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| Дата: | 2009 |
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| Автори: | , |
| Формат: | Стаття |
| Мова: | English |
| Опубліковано: |
Фізико-технічний інститут низьких температур ім. Б.І. Вєркіна НАН України
2009
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| Назва видання: | Журнал математической физики, анализа, геометрии |
| Онлайн доступ: | http://dspace.nbuv.gov.ua/handle/123456789/106548 |
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| Назва журналу: | Digital Library of Periodicals of National Academy of Sciences of Ukraine |
| Цитувати: | 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. |
Репозитарії
Digital Library of Periodicals of National Academy of Sciences of Ukraine| id |
irk-123456789-106548 |
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dspace |
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irk-123456789-1065482016-10-01T03:01:59Z Ruled Surfaces as Pseudospherical Congruences Gorkavyy, V.O. Nevmerzhitska, O.M. 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. 2009 Article 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 http://dspace.nbuv.gov.ua/handle/123456789/106548 en Журнал математической физики, анализа, геометрии Фізико-технічний інститут низьких температур ім. Б.І. Вєркіна НАН України |
| institution |
Digital Library of Periodicals of National Academy of Sciences of Ukraine |
| collection |
DSpace DC |
| language |
English |
| 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. |
| format |
Article |
| author |
Gorkavyy, V.O. Nevmerzhitska, O.M. |
| spellingShingle |
Gorkavyy, V.O. Nevmerzhitska, O.M. Ruled Surfaces as Pseudospherical Congruences Журнал математической физики, анализа, геометрии |
| author_facet |
Gorkavyy, V.O. Nevmerzhitska, O.M. |
| author_sort |
Gorkavyy, V.O. |
| title |
Ruled Surfaces as Pseudospherical Congruences |
| 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 |
| publisher |
Фізико-технічний інститут низьких температур ім. Б.І. Вєркіна НАН України |
| publishDate |
2009 |
| url |
http://dspace.nbuv.gov.ua/handle/123456789/106548 |
| 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. |
| series |
Журнал математической физики, анализа, геометрии |
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AT gorkavyyvo ruledsurfacesaspseudosphericalcongruences AT nevmerzhitskaom ruledsurfacesaspseudosphericalcongruences |
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2023-10-18T20:13:11Z |
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2023-10-18T20:13:11Z |
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1796149287068893184 |