Original scientific paper

On mappings that preserve Fermat-Torricelli points

Oğuzhan Demirel ; Department of Mathematics, Faculty of Science and Literature, University of Afyon Kocatepe, 03 200 Afyonkarahisar, Turkey

Abstract

Let \(\Delta\) be the set of all triple points \(\{ A, B, C \}\) in \(\mathbb{R}^n\) such that the largest angle of the triangle \(ABC\) is less than \(\frac{2\pi}{3}\) . In this paper we proved that if a mapping \(f:\mathbb{R}^n \rightarrow \mathbb{R}^n\) preserves the Fermat-Torricelli points of the triangles in \(\Delta\), then is an affine transformation.

Keywords

Affine transformations, Fermat-Toricelli Points

Hrčak ID:

252597

URI

https://hrcak.srce.hr/252597

Publication date:

10.3.2021.

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