On the isometric deformation of surfaces via the B\"acklund transformation
Differential Geometry
2016-07-22 v6
Abstract
In trying to generalize Bianchi's B\"acklund transformation of quadrics to B\"acklund transformations of isometric deformations of other (classes of) surfaces, we investigate basic features of the isometric deformation of surfaces via the B\"acklund transformation with isometric correspondence of leaves of a general nature (independent of the shape of the seed).
Keywords
Cite
@article{arxiv.1212.2326,
title = {On the isometric deformation of surfaces via the B\"acklund transformation},
author = {Ion I. Dinca},
journal= {arXiv preprint arXiv:1212.2326},
year = {2016}
}
Comments
arXiv 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