We investigate pairs of surfaces in Euclidean 3-space with the same Weingarten operator in case that one surface is given as surface of revolution. Our local and global results complement global results on ovaloids of revolution from S-V-W-W.
@article{bwmeta1.element.bwnjournal-article-doi-10_4064-bc57-0-11, author = {Udo Simon and Konrad Voss and Luc Vrancken and Martin Wiehe}, title = {Surfaces with prescribed Weingarten operator}, journal = {Banach Center Publications}, volume = {58}, year = {2002}, pages = {171-178}, zbl = {1029.53005}, language = {en}, url = {http://dml.mathdoc.fr/item/bwmeta1.element.bwnjournal-article-doi-10_4064-bc57-0-11} }
Udo Simon; Konrad Voss; Luc Vrancken; Martin Wiehe. Surfaces with prescribed Weingarten operator. Banach Center Publications, Tome 58 (2002) pp. 171-178. http://gdmltest.u-ga.fr/item/bwmeta1.element.bwnjournal-article-doi-10_4064-bc57-0-11/