Maximizers and minimizers of functions defined by the distances from the edges of spherical and hyperbolic triangles

Yasunori Kimura & Kenzi Satô

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.

Fundamental Journal of Mathematics and Applications

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