Maximizers and Minimizers of Functions Defined by the Distances From the Edges of Spherical and Hyperbolic Triangles

Year 2025, Volume: 8 Issue: 4, 187 - 202, 30.12.2025

Yasunori Kimura , Kenzi Satô

https://doi.org/10.33401/fujma.1538622

Abstract

In this paper, we investigate the minimizers and maximizers of functions defined by the sum of the distances from the edges of a given triangle by extending it to the setting of the sphere and the hyperbolic plane. We also study the asymptotic behavior of these points as the curvature of the space to zero.

Keywords

Triangle , Sphere , Hyperbolic plane , Distances from edges

Supporting Institution

JSPS KAKENHI JP21K03316

References

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