On Pseudospherical Surfaces in E⁴ with Grassmann Image of Prescribed Type
It is demonstrated that there exist surfaces of constant negative Gauss curvature in E⁴ whose Grassmann image consists of either hyperbolic or parabolic or elliptic points. As a consequence, there exist surfaces of constant negative Gauss curvature in E⁴ which do not admit Backlund transformations w...
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| Дата: | 2006 |
|---|---|
| Автор: | |
| Формат: | Стаття |
| Мова: | English |
| Опубліковано: |
Фізико-технічний інститут низьких температур ім. Б.І. Вєркіна НАН України
2006
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| Назва видання: | Журнал математической физики, анализа, геометрии |
| Онлайн доступ: | http://dspace.nbuv.gov.ua/handle/123456789/106588 |
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| Назва журналу: | Digital Library of Periodicals of National Academy of Sciences of Ukraine |
| Цитувати: | On Pseudospherical Surfaces in E⁴ with Grassmann Image of Prescribed Type / V. Gorkavyy // Журнал математической физики, анализа, геометрии. — 2006. — Т. 2, № 2. — С. 138-148. — Бібліогр.: 12 назв. — англ. |
Репозитарії
Digital Library of Periodicals of National Academy of Sciences of Ukraine| id |
irk-123456789-106588 |
|---|---|
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dspace |
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irk-123456789-1065882016-10-01T03:02:19Z On Pseudospherical Surfaces in E⁴ with Grassmann Image of Prescribed Type Gorkavyy, V. It is demonstrated that there exist surfaces of constant negative Gauss curvature in E⁴ whose Grassmann image consists of either hyperbolic or parabolic or elliptic points. As a consequence, there exist surfaces of constant negative Gauss curvature in E⁴ which do not admit Backlund transformations with help of pseudospherical congruencies. A geometric representation for pseudospherical surfaces in E⁴ with parabolic Grassmann image is proposed. 2006 Article On Pseudospherical Surfaces in E⁴ with Grassmann Image of Prescribed Type / V. Gorkavyy // Журнал математической физики, анализа, геометрии. — 2006. — Т. 2, № 2. — С. 138-148. — Бібліогр.: 12 назв. — англ. 1812-9471 http://dspace.nbuv.gov.ua/handle/123456789/106588 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 |
It is demonstrated that there exist surfaces of constant negative Gauss curvature in E⁴ whose Grassmann image consists of either hyperbolic or parabolic or elliptic points. As a consequence, there exist surfaces of constant negative Gauss curvature in E⁴ which do not admit Backlund transformations with help of pseudospherical congruencies. A geometric representation for pseudospherical surfaces in E⁴ with parabolic Grassmann image is proposed. |
| format |
Article |
| author |
Gorkavyy, V. |
| spellingShingle |
Gorkavyy, V. On Pseudospherical Surfaces in E⁴ with Grassmann Image of Prescribed Type Журнал математической физики, анализа, геометрии |
| author_facet |
Gorkavyy, V. |
| author_sort |
Gorkavyy, V. |
| title |
On Pseudospherical Surfaces in E⁴ with Grassmann Image of Prescribed Type |
| title_short |
On Pseudospherical Surfaces in E⁴ with Grassmann Image of Prescribed Type |
| title_full |
On Pseudospherical Surfaces in E⁴ with Grassmann Image of Prescribed Type |
| title_fullStr |
On Pseudospherical Surfaces in E⁴ with Grassmann Image of Prescribed Type |
| title_full_unstemmed |
On Pseudospherical Surfaces in E⁴ with Grassmann Image of Prescribed Type |
| title_sort |
on pseudospherical surfaces in e⁴ with grassmann image of prescribed type |
| publisher |
Фізико-технічний інститут низьких температур ім. Б.І. Вєркіна НАН України |
| publishDate |
2006 |
| url |
http://dspace.nbuv.gov.ua/handle/123456789/106588 |
| citation_txt |
On Pseudospherical Surfaces in E⁴ with Grassmann Image of Prescribed Type / V. Gorkavyy // Журнал математической физики, анализа, геометрии. — 2006. — Т. 2, № 2. — С. 138-148. — Бібліогр.: 12 назв. — англ. |
| series |
Журнал математической физики, анализа, геометрии |
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AT gorkavyyv onpseudosphericalsurfacesine4withgrassmannimageofprescribedtype |
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2023-10-18T20:13:16Z |
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2023-10-18T20:13:16Z |
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