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• W2964247985 abstract "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 <inline-formula content-type=math/mathml> <mml:math xmlns:mml=http://www.w3.org/1998/Math/MathML alttext=1> <mml:semantics> <mml:mn>1</mml:mn> <mml:annotation encoding=application/x-tex>1</mml:annotation> </mml:semantics> </mml:math> </inline-formula>, 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 two angles at the corners are multiples of <inline-formula content-type=math/mathml> <mml:math xmlns:mml=http://www.w3.org/1998/Math/MathML alttext=pi> <mml:semantics> <mml:mi>π<!-- π --></mml:mi> <mml:annotation encoding=application/x-tex>pi</mml:annotation> </mml:semantics> </mml:math> </inline-formula>. The problem is equivalent to classification of Heun’s equations with real parameters and unitary monodromy." @default.
• W2964247985 created "2019-07-30" @default.
• W2964247985 creator A5012326758 @default.
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• W2964247985 date "2016-05-16" @default.
• W2964247985 modified "2023-09-26" @default.
• W2964247985 title "Metrics with four conic singularities and spherical quadrilaterals" @default.
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• W2964247985 doi "https://doi.org/10.1090/ecgd/295" @default.
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