Spherical Quadrilaterals with Three Non-integer Angles
A spherical quadrilateral is a bordered surface homeomorphic to a closed disk, with four distinguished boundary points called corners, equipped with a Riemannian metric of constant curvature 1, except at the corners, and such that the boundary arcs between the corners are geodesic. We discuss the pr...
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| Опубліковано в: : | Журнал математической физики, анализа, геометрии |
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| Дата: | 2016 |
| Автори: | , , |
| Формат: | Стаття |
| Мова: | Англійська |
| Опубліковано: |
Фізико-технічний інститут низьких температур ім. Б.І. Вєркіна НАН України
2016
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| Онлайн доступ: | https://nasplib.isofts.kiev.ua/handle/123456789/140551 |
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| Назва журналу: | Digital Library of Periodicals of National Academy of Sciences of Ukraine |
| Цитувати: | Spherical Quadrilaterals with Three Non-integer Angles / A. Eremenko, A. Gabrielov, V. Tarasov // Журнал математической физики, анализа, геометрии. — 2016. — Т. 12, № 2. — С. 134-167. — Бібліогр.: 14 назв. — англ. |
Репозитарії
Digital Library of Periodicals of National Academy of Sciences of Ukraine| _version_ | 1862639910724304896 |
|---|---|
| author | Eremenko, A. Gabrielov, A. Tarasov, V. |
| author_facet | Eremenko, A. Gabrielov, A. Tarasov, V. |
| citation_txt | Spherical Quadrilaterals with Three Non-integer Angles / A. Eremenko, A. Gabrielov, V. Tarasov // Журнал математической физики, анализа, геометрии. — 2016. — Т. 12, № 2. — С. 134-167. — Бібліогр.: 14 назв. — англ. |
| collection | DSpace DC |
| container_title | Журнал математической физики, анализа, геометрии |
| description | A spherical quadrilateral is a bordered surface homeomorphic to a closed disk, with four distinguished boundary points called corners, equipped with a Riemannian metric of constant curvature 1, except at the corners, and such that the boundary arcs between the corners are geodesic. We discuss the problem of classification of these quadrilaterals and perform the classification up to isometry in the case that one corner of a quadrilateral is integer (i.e., its angle is a multiple of π) while the angles at its other three corners are not multiples of π. The problem is equivalent to classification of Heun's equations with real parameters and unitary monodromy, with the trivial monodromy at one of its four singular point.
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| first_indexed | 2025-12-01T01:55:23Z |
| format | Article |
| fulltext | |
| id | nasplib_isofts_kiev_ua-123456789-140551 |
| institution | Digital Library of Periodicals of National Academy of Sciences of Ukraine |
| issn | 1812-9471 |
| language | English |
| last_indexed | 2025-12-01T01:55:23Z |
| publishDate | 2016 |
| publisher | Фізико-технічний інститут низьких температур ім. Б.І. Вєркіна НАН України |
| record_format | dspace |
| spelling | Eremenko, A. Gabrielov, A. Tarasov, V. 2018-07-10T13:57:10Z 2018-07-10T13:57:10Z 2016 Spherical Quadrilaterals with Three Non-integer Angles / A. Eremenko, A. Gabrielov, V. Tarasov // Журнал математической физики, анализа, геометрии. — 2016. — Т. 12, № 2. — С. 134-167. — Бібліогр.: 14 назв. — англ. 1812-9471 Mathematics Subject Classification 2000: 30C20,34M03 https://nasplib.isofts.kiev.ua/handle/123456789/140551 DOI: doi.org/10.15407/mag12.02.134 A spherical quadrilateral is a bordered surface homeomorphic to a closed disk, with four distinguished boundary points called corners, equipped with a Riemannian metric of constant curvature 1, except at the corners, and such that the boundary arcs between the corners are geodesic. We discuss the problem of classification of these quadrilaterals and perform the classification up to isometry in the case that one corner of a quadrilateral is integer (i.e., its angle is a multiple of π) while the angles at its other three corners are not multiples of π. The problem is equivalent to classification of Heun's equations with real parameters and unitary monodromy, with the trivial monodromy at one of its four singular point. en Фізико-технічний інститут низьких температур ім. Б.І. Вєркіна НАН України Журнал математической физики, анализа, геометрии Spherical Quadrilaterals with Three Non-integer Angles Article published earlier |
| spellingShingle | Spherical Quadrilaterals with Three Non-integer Angles Eremenko, A. Gabrielov, A. Tarasov, V. |
| title | Spherical Quadrilaterals with Three Non-integer Angles |
| title_full | Spherical Quadrilaterals with Three Non-integer Angles |
| title_fullStr | Spherical Quadrilaterals with Three Non-integer Angles |
| title_full_unstemmed | Spherical Quadrilaterals with Three Non-integer Angles |
| title_short | Spherical Quadrilaterals with Three Non-integer Angles |
| title_sort | spherical quadrilaterals with three non-integer angles |
| url | https://nasplib.isofts.kiev.ua/handle/123456789/140551 |
| work_keys_str_mv | AT eremenkoa sphericalquadrilateralswiththreenonintegerangles AT gabrielova sphericalquadrilateralswiththreenonintegerangles AT tarasovv sphericalquadrilateralswiththreenonintegerangles |