Conformal parametrization of curvilinear quadrangles by means of geodesic quadrangles on surfaces of constant positive curvature Научная публикация
| Журнал |
Siberian Mathematical Journal
ISSN: 0037-4466 , E-ISSN: 1573-9260 |
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| Вых. Данные | Год: 1993, Том: 34, Номер: 1, Страницы: 172-180 Страниц : 9 DOI: 10.1007/bf00971253 | ||
| Ключевые слова | Positive Curvature; Conformal Parametrization; Constant Positive Curvature; Curvilinear Quadrangle; Geodesic Quadrangle. | ||
| Авторы |
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| Организации |
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Реферат:
Let us consider a physical curvilinear quadrangle with given four angles with a positive angle defect.
The theorem is proved that there exists the unique geodesic quadrangle with the same angles in the spherical geometry which maps conformally to the physical domain such that the vertices of physical domain go to the vertices of geodesic quadrangle.
Библиографическая ссылка:
Chumakov G.A.
Conformal parametrization of curvilinear quadrangles by means of geodesic quadrangles on surfaces of constant positive curvature
Siberian Mathematical Journal. 1993. V.34. N1. P.172-180. DOI: 10.1007/bf00971253 Scopus OpenAlex
Conformal parametrization of curvilinear quadrangles by means of geodesic quadrangles on surfaces of constant positive curvature
Siberian Mathematical Journal. 1993. V.34. N1. P.172-180. DOI: 10.1007/bf00971253 Scopus OpenAlex
Даты:
| Поступила в редакцию: | 12 мая 1991 г. |
| Опубликована в печати: | 14 янв. 1993 г. |
Идентификаторы БД:
| Scopus: | 2-s2.0-0039177047 |
| OpenAlex: | W2320078996 |