On the 3-Parameter Spatial Motions in Lorentzian 3-Space

Abstract

In this paper, we obtain the formulas of volume element and volume of the
region which is determined in the fixed space by any fixed point of the moving
space under the $3$-parameter spatial motions in Lorentzian $3$-space $L^{3}$. Moreover, taking into account these formulas, we give Holditch-Type Theorems and some corollaries in the sense of Lorentzian.