On isometric correspondence of leaves
We prove that for a generic $3$-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.
Gespeichert in:
| 1. Verfasser: | |
|---|---|
| Format: | Artikel |
| Sprache: | eng |
| Schlagworte: | |
| Online-Zugang: | Volltext bestellen |
| Tags: |
Tag hinzufügen
Keine Tags, Fügen Sie den ersten Tag hinzu!
|
| Zusammenfassung: | We prove that for a generic $3$-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. |
|---|---|
| DOI: | 10.48550/arxiv.1907.13483 |