Lorentzian surfaces in Lorentz three-space are studied using an indefinite version of the quaternions. A classification theorem for Bonnet pairs in Lorentz three-space is obtained.
@article{bwmeta1.element.bwnjournal-article-doi-10_4064-ap83-2-4,
author = {M. A. Magid},
title = {Lorentzian isothermic surfaces and Bonnet pairs},
journal = {Annales Polonici Mathematici},
volume = {83},
year = {2004},
pages = {129-139},
zbl = {1097.53007},
language = {en},
url = {http://dml.mathdoc.fr/item/bwmeta1.element.bwnjournal-article-doi-10_4064-ap83-2-4}
}
M. A. Magid. Lorentzian isothermic surfaces and Bonnet pairs. Annales Polonici Mathematici, Tome 83 (2004) pp. 129-139. http://gdmltest.u-ga.fr/item/bwmeta1.element.bwnjournal-article-doi-10_4064-ap83-2-4/