Izvorni znanstveni članak
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
Sažetak
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.
Ključne riječi
Affine transformations, Fermat-Toricelli Points
Hrčak ID:
252597
URI
Datum izdavanja:
10.3.2021.
Posjeta: 518 *