On generalized taxicab metric in three dimensional space

Year 2019, Volume: 68 Issue: 2, 1359 - 1369, 01.08.2019

Harun Barış Çolakoğlu

https://doi.org/10.31801/cfsuasmas.530441

Abstract

In this paper, we define the generalized taxicab distance function in three dimensional space, which includes the taxicab distance function as a special case, and we show that three dimensional generalized taxicab distance function determines a metric. Then we give some properties of three dimensional generalized taxicab metric, and determine Euclidean isometries of the space preserving the generalized taxicab metric.

Keywords

Metric, taxicab distance, generalized taxicab distance, isometry

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