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Ruled Surfaces as Pseudospherical Congruences

Ruled Surfaces as Pseudospherical Congruences

Two-dimensional ruled surfaces in the spaces of constant curvature Rⁿ, Sⁿ, Hn and in the Riemannian products Sⁿ x R¹, Hⁿ x R¹ are considered. A ruled surface is proved to represent a pseudospherical congruence if and only if it is either an intrinsically flat surface in Sⁿ, or an intrinsically flat...

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Main Authors: Gorkavyy, V.O., Nevmerzhitska, O.M.
Format: Article
Language:English
Published: Фізико-технічний інститут низьких температур ім. Б.І. Вєркіна НАН України 2009
Series:Журнал математической физики, анализа, геометрии
Online Access:http://dspace.nbuv.gov.ua/handle/123456789/106548
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spelling irk-123456789-1065482016-10-01T03:01:59Z Ruled Surfaces as Pseudospherical Congruences Gorkavyy, V.O. Nevmerzhitska, O.M. Two-dimensional ruled surfaces in the spaces of constant curvature Rⁿ, Sⁿ, Hn and in the Riemannian products Sⁿ x R¹, Hⁿ x R¹ are considered. A ruled surface is proved to represent a pseudospherical congruence if and only if it is either an intrinsically flat surface in Sⁿ, or an intrinsically flat surface with constant extrinsic curvature in Sⁿ x R¹. 2009 Article Ruled Surfaces as Pseudospherical Congruences / V.O. Gorkavyy,. O.M. Nevmerzhitska // Журнал математической физики, анализа, геометрии. — 2009. — Т. 5, № 4. — С. 359-374. — Бібліогр.: 7 назв. — англ. 1812-9471 http://dspace.nbuv.gov.ua/handle/123456789/106548 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 Two-dimensional ruled surfaces in the spaces of constant curvature Rⁿ, Sⁿ, Hn and in the Riemannian products Sⁿ x R¹, Hⁿ x R¹ are considered. A ruled surface is proved to represent a pseudospherical congruence if and only if it is either an intrinsically flat surface in Sⁿ, or an intrinsically flat surface with constant extrinsic curvature in Sⁿ x R¹.
format Article
author Gorkavyy, V.O.
Nevmerzhitska, O.M.
spellingShingle Gorkavyy, V.O.
Nevmerzhitska, O.M.
Ruled Surfaces as Pseudospherical Congruences
Журнал математической физики, анализа, геометрии
author_facet Gorkavyy, V.O.
Nevmerzhitska, O.M.
author_sort Gorkavyy, V.O.
title Ruled Surfaces as Pseudospherical Congruences
title_short Ruled Surfaces as Pseudospherical Congruences
title_full Ruled Surfaces as Pseudospherical Congruences
title_fullStr Ruled Surfaces as Pseudospherical Congruences
title_full_unstemmed Ruled Surfaces as Pseudospherical Congruences
title_sort ruled surfaces as pseudospherical congruences
publisher Фізико-технічний інститут низьких температур ім. Б.І. Вєркіна НАН України
publishDate 2009
url http://dspace.nbuv.gov.ua/handle/123456789/106548
citation_txt Ruled Surfaces as Pseudospherical Congruences / V.O. Gorkavyy,. O.M. Nevmerzhitska // Журнал математической физики, анализа, геометрии. — 2009. — Т. 5, № 4. — С. 359-374. — Бібліогр.: 7 назв. — англ.
series Журнал математической физики, анализа, геометрии
work_keys_str_mv AT gorkavyyvo ruledsurfacesaspseudosphericalcongruences
AT nevmerzhitskaom ruledsurfacesaspseudosphericalcongruences
first_indexed 2023-10-18T20:13:11Z
last_indexed 2023-10-18T20:13:11Z
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