Timelike Christoffel pairs in the split-quaternions
M. P. Dussan, M. Magid (2010)
Annales Polonici Mathematici
Similarity:
We characterize the Christoffel pairs of timelike isothermic surfaces in the four-dimensional split-quaternions. When restricting the receiving space to the three-dimensional imaginary split-quaternions, we establish an equivalent condition for a timelike surface in ℝ³₂ to be real or complex isothermic in terms of the existence of integrating factors.