On the isometric deformation of surfaces via the Bäcklund transformation
arXiv:1212.2326
Abstract
In trying to generalize Bianchi's Bäcklund transformation of quadrics to Bäcklund transformations of isometric deformations of other (classes of) surfaces, we investigate basic features of the isometric deformation of surfaces via the Bäcklund transformation with isometric correspondence of leaves of a general nature (independent of the shape of the seed).
arXiv commentarXiv admin note: text overlap with arXiv:1110.5474 ; a bug in the versions up to including 4: in C_1^3 a \partial_v is replaced with \partial_w