Work

Lie applicable surfaces and curved flats

Year: 2021

Type: article

Abstract: 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.

Source: manuscripta mathematica

DOI: 10.1007/s00229-021-01304-8

Authors: Francis Burstall, Mason Pember

Institutions: University of Bath, Politecnico di Torino

Language: English

Topic: Advanced Differential Geometry Research

Subfield: Astronomy and Astrophysics

Field: Physics and Astronomy

Domain: Physical Sciences

Open Access status: hybrid

Estimated APC paid: $2,780

Funders: Istituto Nazionale di Alta Matematica "Francesco Severi", Politecnico di Torino, Dipartimenti di Eccellenza, Austrian Science Fund, Ministero dell’Istruzione, dell’Università e della Ricerca, Gruppo Nazionale per le Strutture Algebriche, Geometriche e le loro Applicazioni

Awards: G1679836865, G199520308, G2019402066, G2312790173, G308161308, G3724367423, Non-rigidity and symmetry breaking, G8357203474

OpenAlex ID: W3045365171

FWCI: 0.269

Cites: 8

Cited by: 3

Related to: