ON GENERALIZED TAXICAB METRIC IN THREE DIMENSIONAL SPACE

Abstract

In this paper, we deÖne 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 distancefunction 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.