Lie applicable surfaces and curved flats

Francis Burstall, Mason Pember

Research output: Contribution to journalArticlepeer-review


We investigate curved flats in Lie sphere geometry. We show that in this setting curved flats are in one-to-one correspondence with pairs of Demoulin families of Lie applicable surfaces related by Darboux transformation.

Original languageEnglish
JournalManuscripta Mathematica
Early online date21 Apr 2021
Publication statusE-pub ahead of print - 21 Apr 2021

ASJC Scopus subject areas

  • Mathematics(all)

Cite this