Timelike Christoffel pairs in the split-quaternions

M. P. Dussan, and M. Magid. "Timelike Christoffel pairs in the split-quaternions." Annales Polonici Mathematici 99.2 (2010): 201-214. <http://eudml.org/doc/280336>.

@article{M2010,
abstract = {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.},
author = {M. P. Dussan, M. Magid},
journal = {Annales Polonici Mathematici},
keywords = {timelike surface; Christoffel pairs; split-quaternions},
language = {eng},
number = {2},
pages = {201-214},
title = {Timelike Christoffel pairs in the split-quaternions},
url = {http://eudml.org/doc/280336},
volume = {99},
year = {2010},
}

TY - JOUR
AU - M. P. Dussan
AU - M. Magid
TI - Timelike Christoffel pairs in the split-quaternions
JO - Annales Polonici Mathematici
PY - 2010
VL - 99
IS - 2
SP - 201
EP - 214
AB - 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.
LA - eng
KW - timelike surface; Christoffel pairs; split-quaternions
UR - http://eudml.org/doc/280336
ER -