Spherical quadrilaterals with three non-integer angles
Complex Variables
2016-09-27 v1 Mathematical Physics
Metric Geometry
math.MP
Abstract
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.
Cite
@article{arxiv.1504.02928,
title = {Spherical quadrilaterals with three non-integer angles},
author = {Alexandre Eremenko and Andrei Gabrielov and Vitaly Tarasov},
journal= {arXiv preprint arXiv:1504.02928},
year = {2016}
}
Comments
38 pages, 16 figures. arXiv admin note: text overlap with arXiv:1409.1529