Journal of Mahani Mathematical Research

Journal of Mahani Mathematical Research

Taxicab Spherical Inversions In Taxicab Space

Document Type : Research Paper

Authors
DEPARTMENT OF MATHEMATICS - COMPUTER, ESKISEHIR OSMANGAZI UNIVERSITY, ESKISEHIR, TURKEY
Abstract
In this paper, we define an inversion with respect to a taxicab sphere in the three dimensional taxicab space, and prove several properties of this inversion. We also study cross ratio, harmonic conjugates and the inverse images of lines, planes and taxicab spheres in three dimensional taxicab space.
Keywords

Volume 9, Issue 1
June 2020
Pages 45-54

  • Receive Date 11 June 2019
  • Revise Date 02 May 2020
  • Accept Date 29 May 2020