On Pseudospherical Surfaces in E⁴ with Grassmann Image of Prescribed Type

dc.contributor.author	Gorkavyy, V.
dc.date.accessioned	2016-09-30T20:36:18Z
dc.date.available	2016-09-30T20:36:18Z
dc.date.issued	2006
dc.identifier.citation	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.	uk_UA
dc.identifier.issn	1812-9471
dc.identifier.uri	http://dspace.nbuv.gov.ua/handle/123456789/106588
dc.description.abstract	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.	uk_UA
dc.language.iso	en	uk_UA
dc.publisher	Фізико-технічний інститут низьких температур ім. Б.І. Вєркіна НАН України	uk_UA
dc.relation.ispartof	Журнал математической физики, анализа, геометрии
dc.title	On Pseudospherical Surfaces in E⁴ with Grassmann Image of Prescribed Type	uk_UA
dc.type	Article	uk_UA
dc.status	published earlier	uk_UA