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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| Дата: | 2016 |
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| Автори: | , , |
| Формат: | Стаття |
| Мова: | English |
| Опубліковано: |
Фізико-технічний інститут низьких температур ім. Б.І. Вєркіна НАН України
2016
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| Назва видання: | Журнал математической физики, анализа, геометрии |
| Онлайн доступ: | http://dspace.nbuv.gov.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| id |
irk-123456789-140551 |
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dspace |
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irk-123456789-1405512018-07-11T01:23:08Z Spherical Quadrilaterals with Three Non-integer Angles Eremenko, A. Gabrielov, A. Tarasov, V. 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. 2016 Article 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 http://dspace.nbuv.gov.ua/handle/123456789/140551 DOI: doi.org/10.15407/mag12.02.134 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 |
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. |
| format |
Article |
| author |
Eremenko, A. Gabrielov, A. Tarasov, V. |
| spellingShingle |
Eremenko, A. Gabrielov, A. Tarasov, V. Spherical Quadrilaterals with Three Non-integer Angles Журнал математической физики, анализа, геометрии |
| author_facet |
Eremenko, A. Gabrielov, A. Tarasov, V. |
| author_sort |
Eremenko, A. |
| title |
Spherical Quadrilaterals with Three Non-integer Angles |
| title_short |
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_sort |
spherical quadrilaterals with three non-integer angles |
| publisher |
Фізико-технічний інститут низьких температур ім. Б.І. Вєркіна НАН України |
| publishDate |
2016 |
| url |
http://dspace.nbuv.gov.ua/handle/123456789/140551 |
| 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. |
| series |
Журнал математической физики, анализа, геометрии |
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AT eremenkoa sphericalquadrilateralswiththreenonintegerangles AT gabrielova sphericalquadrilateralswiththreenonintegerangles AT tarasovv sphericalquadrilateralswiththreenonintegerangles |
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2023-10-18T21:22:54Z |
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2023-10-18T21:22:54Z |
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1796152661532213248 |