Elliptic Inversions in Taxicab Geometry

Authors : Zeynep Can

Pages : 266-272

Doi:10.35414/akufemubid.1353161

View : 133 | Download : 134

Publication Date : 2024-04-29

Article Type : Research Paper

Abstract :The goal of this research is to introduce inversion with respect to an ellipse which is a generalization of the classical circular inversion in taxicab plane and to investigate general properties and basic concepts of this transformation in taxicab geometry. The cross ratio is preserved under the elliptic inversion in taxicab plane though this transformation is not an isometry. Thus some properties such as cross ratio and harmonic conjugates of the elliptic inversions in R_T^2 are also studied.
Keywords : inversiyon, eliptik inversiyon, taksi metriği, çapraz oran, harmonik eşlenik