Darboux transforms of Dupin surfaces
Tom 57 / 2002
Banach Center Publications 57 (2002), 135-154
MSC: Primary 53A30, 53A05; Secondary 35Q51
DOI: 10.4064/bc57-0-9
Streszczenie
We present a Möbius invariant construction of the Darboux transformation for isothermic surfaces by the method of moving frames and use it to give a complete classification of the Darboux transforms of Dupin surfaces.