2024/10/02 by Dinca, Ion I.
#Differential Geometry (math.DG) #FOS: Mathematics
paper · doi:10.48550/arxiv.2410.01135
We prove that a generic 4-dimensional integrable rolling distribution of contact elements with the symmetry of the tangency configuration (excluding developable seed and isotropic developable leaves) splits into an 1-dimensional family of generic 3-dimensional integrable rolling distributions of contact elements with the symmetry of the tangency configuration, thus introducing a new definition of the Bäcklund transformation in the isometric deformation of surfaces.