On the isometric deformation of surfaces via the Bäcklund transformation

2012/12/11 by Ion I. Dinca, Dinca, Ion I.
Mathematics · #Differential Geometry (math.DG) #FOS: Mathematics #math.DG

paper · pdf · doi:10.48550/arxiv.1212.2326

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

arxiv created 2016/07/21 · arxiv updated 2016/07/22

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).

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