On Pseudospherical Surfaces in E⁴ with Grassmann Image of Prescribed Type
Vernadsky National Library of Ukraine
Переглянути архів Інформація| Поле | Співвідношення | |
| Title |
On Pseudospherical Surfaces in E⁴ with Grassmann Image of Prescribed Type
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| Creator |
Gorkavyy, V.
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| 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.
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| Date |
2016-09-30T20:36:18Z
2016-09-30T20:36:18Z 2006 |
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| Type |
Article
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| Identifier |
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 |
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| Language |
en
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| Relation |
Журнал математической физики, анализа, геометрии
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| Publisher |
Фізико-технічний інститут низьких температур ім. Б.І. Вєркіна НАН України
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