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arxiv: 1504.02928 · v1 · pith:OONNPYMUnew · submitted 2015-04-12 · 🧮 math.CV · math-ph· math.MG· math.MP

Spherical quadrilaterals with three non-integer angles

classification 🧮 math.CV math-phmath.MGmath.MP
keywords quadrilateralssphericalthreeangleanglesapparentcaseclassification
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We classify spherical quadrilaterals up to isometry in the case when one inner angle is a multiple of pi while the other three are not. This is equivalent to classification of Heun's equations with real parameters and one apparent singularity such that the monodromy consists of unitary transformations.

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