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arXiv · 2410.01135

On a new definition of the B\"{a}cklund transformation in the isometric deformation of surfaces

Ion I. Dinca
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Abstract

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 B\"{a}cklund transformation in the isometric deformation of surfaces.

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Ion I. Dinca. 2024-10-02. On a new definition of the B\"{a}cklund transformation in the isometric deformation of surfaces. https://arxiv.org/abs/2410.01135

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