On isometric correspondence of leaves
Differential Geometry
2024-06-25 v6
Abstract
We prove that for a generic -dimensional integrable rolling distribution of contact elements (excluding developable seed and isotropic developable leaves) isometric correspondence of leaves of a general nature (independent of the shape of the seed) requires the B\"{a}cklund transformation.
Keywords
Cite
@article{arxiv.1907.13483,
title = {On isometric correspondence of leaves},
author = {Ion I. Dinca},
journal= {arXiv preprint arXiv:1907.13483},
year = {2024}
}
Comments
arXiv admin note: substantial text overlap with arXiv:1212.2326, arXiv:1110.5474; proof of the main theorem is incomplete