Lie applicable surfaces and curved flats

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1 Citation (SciVal)


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
Pages (from-to)525–533
Number of pages9
JournalManuscripta Mathematica
Issue number3-4
Early online date21 Apr 2021
Publication statusPublished - 31 Jul 2022

ASJC Scopus subject areas

  • Mathematics(all)


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