9 citations · 52 across the 14 of their papers we have counts for
Showing 2020Show all
3 papers · 1 filter
math.DG2020★ 4 cited
Discrete -nets and Guichard nets via discrete Koenigs nets
F. E. Burstall, J. Cho, U. Hertrich-Jeromin +2
We provide a convincing discretisation of Demoulin's -surfaces along with their specialisations to Guichard and isothermic surfaces with no loss of integrable structure.
math.DG2020★ 2 cited
Lie applicable surfaces and curved flats
Francis Burstall, Mason Pember
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 sur…
math.DG2020
Quartic differentials and harmonic maps in conformal surface geometry
Francis Burstall, Emilio Musso, Mason Pember
We consider codimension 2 sphere congruences in pseudo-conformal geometry that are harmonic with respect to the conformal structure of an orthogonal surface. We characterise the or…