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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| Published in: | Журнал математической физики, анализа, геометрии |
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| Date: | 2006 |
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| Format: | Article |
| Language: | English |
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Фізико-технічний інститут низьких температур ім. Б.І. Вєркіна НАН України
2006
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| Online Access: | https://nasplib.isofts.kiev.ua/handle/123456789/106588 |
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| Journal Title: | Digital Library of Periodicals of National Academy of Sciences of Ukraine |
| Cite this: | 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. |
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Digital Library of Periodicals of National Academy of Sciences of Ukraine| id |
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Gorkavyy, V. 2016-09-30T20:36:18Z 2016-09-30T20:36:18Z 2006 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 https://nasplib.isofts.kiev.ua/handle/123456789/106588 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. en Фізико-технічний інститут низьких температур ім. Б.І. Вєркіна НАН України Журнал математической физики, анализа, геометрии On Pseudospherical Surfaces in E⁴ with Grassmann Image of Prescribed Type Article published earlier |
| institution |
Digital Library of Periodicals of National Academy of Sciences of Ukraine |
| collection |
DSpace DC |
| title |
On Pseudospherical Surfaces in E⁴ with Grassmann Image of Prescribed Type |
| spellingShingle |
On Pseudospherical Surfaces in E⁴ with Grassmann Image of Prescribed Type Gorkavyy, V. |
| 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 |
| author |
Gorkavyy, V. |
| author_facet |
Gorkavyy, V. |
| publishDate |
2006 |
| language |
English |
| container_title |
Журнал математической физики, анализа, геометрии |
| publisher |
Фізико-технічний інститут низьких температур ім. Б.І. Вєркіна НАН України |
| format |
Article |
| 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.
|
| issn |
1812-9471 |
| url |
https://nasplib.isofts.kiev.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. |
| work_keys_str_mv |
AT gorkavyyv onpseudosphericalsurfacesine4withgrassmannimageofprescribedtype |
| first_indexed |
2025-12-07T20:17:44Z |
| last_indexed |
2025-12-07T20:17:44Z |
| _version_ |
1850882040644239360 |