Normal congruences with focal bicylindrical surfaces
A system of equations determining normal con~uences with focal surfaces (bicylinders) is found in a biaxial space of hyperbolic type by using a moving frame of the space and the method of Cartan exterior forms. The geometric construction of these congruences is presented.
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| Date: | 1993 |
|---|---|
| Main Authors: | , |
| Format: | Article |
| Language: | Russian English |
| Published: |
Institute of Mathematics, NAS of Ukraine
1993
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| Online Access: | https://umj.imath.kiev.ua/index.php/umj/article/view/5859 |
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| Journal Title: | Ukrains’kyi Matematychnyi Zhurnal |
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Ukrains’kyi Matematychnyi Zhurnal| _version_ | 1860512078596407296 |
|---|---|
| author | Koneva, N. P. Конева, Н. П. Конева, Н. П. |
| author_facet | Koneva, N. P. Конева, Н. П. Конева, Н. П. |
| author_sort | Koneva, N. P. |
| baseUrl_str | https://umj.imath.kiev.ua/index.php/umj/oai |
| collection | OJS |
| datestamp_date | 2020-03-19T09:19:18Z |
| description | A system of equations determining normal con~uences with focal surfaces (bicylinders) is found in a
biaxial space of hyperbolic type by using a moving frame of the space and the method of Cartan exterior
forms. The geometric construction of these congruences is presented. |
| first_indexed | 2026-03-24T03:23:04Z |
| format | Article |
| fulltext |
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| id | umjimathkievua-article-5859 |
| institution | Ukrains’kyi Matematychnyi Zhurnal |
| keywords_txt_mv | keywords |
| language | rus English |
| last_indexed | 2026-03-24T03:23:04Z |
| publishDate | 1993 |
| publisher | Institute of Mathematics, NAS of Ukraine |
| record_format | ojs |
| resource_txt_mv | umjimathkievua/2b/890f58302392225a360e9abb6534392b.pdf |
| spelling | umjimathkievua-article-58592020-03-19T09:19:18Z Normal congruences with focal bicylindrical surfaces Нормальные конгруэнции с фокальными поверхностями - бицилиндрами Koneva, N. P. Конева, Н. П. Конева, Н. П. A system of equations determining normal con~uences with focal surfaces (bicylinders) is found in a biaxial space of hyperbolic type by using a moving frame of the space and the method of Cartan exterior forms. The geometric construction of these congruences is presented. В біаксіальному просторі гіперболічного типу за допомогою рухомого репера простору та методу зовнішніх форм Картала знайдена система рівнянь, що визначає нормальні конгруенції з фокальними поверхнями - біциліндрами, наведена геометрична побудова цих конгруенцій. Institute of Mathematics, NAS of Ukraine 1993-05-25 Article Article application/pdf https://umj.imath.kiev.ua/index.php/umj/article/view/5859 Ukrains’kyi Matematychnyi Zhurnal; Vol. 45 No. 5 (1993); 718–720 Український математичний журнал; Том 45 № 5 (1993); 718–720 1027-3190 rus en https://umj.imath.kiev.ua/index.php/umj/article/view/5859/8401 https://umj.imath.kiev.ua/index.php/umj/article/view/5859/8402 Copyright (c) 1993 Koneva N. P. |
| spellingShingle | Koneva, N. P. Конева, Н. П. Конева, Н. П. Normal congruences with focal bicylindrical surfaces |
| title | Normal congruences with focal bicylindrical surfaces |
| title_alt | Нормальные конгруэнции с фокальными поверхностями - бицилиндрами |
| title_full | Normal congruences with focal bicylindrical surfaces |
| title_fullStr | Normal congruences with focal bicylindrical surfaces |
| title_full_unstemmed | Normal congruences with focal bicylindrical surfaces |
| title_short | Normal congruences with focal bicylindrical surfaces |
| title_sort | normal congruences with focal bicylindrical surfaces |
| url | https://umj.imath.kiev.ua/index.php/umj/article/view/5859 |
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