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On Pseudospherical Surfaces in E⁴ with Grassmann Image of Prescribed Type
Репозиторій DSpace/Manakin
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On Pseudospherical Surfaces in E⁴ with Grassmann Image of Prescribed Type
Посилання:
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.
Дата:
2006
Переглядів:
738
Завантажень:
445
Анотація:
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.
