An analytical solution of the weighted Fermat-Torricelli problem on a unit sphere

DOI10.1007/s12215-015-0209-7zbMath1331.52015arXiv1408.6495OpenAlexW1906313737MaRDI QIDQ903065

Anastasios N. Zachos

Publication date: 4 January 2016

Published in: Rendiconti del Circolo Matemàtico di Palermo. Serie II (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1408.6495

zbMATH Keywords

geodesic triangleunit sphereconvexity radiusFermat-Toricelli problem

Mathematics Subject Classification ID

Steiner systems in finite geometry (51E10) Inequalities and extremum problems involving convexity in convex geometry (52A40) Spherical and hyperbolic convexity (52A55) Inequalities and extremum problems in real or complex geometry (51M16)

Related Items (1)

The Plasticity of Fittable Cones for a Given Quadruple of Points on the Surface of a Unit 2-sphere

Cites Work

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• Location of the weighted Fermat–Torricelli point on the K-plane (Part II)
• On the Steiner Problem
• On Fermat's Problem on the Surface of a Sphere
• Steiner trees on curved surfaces

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