46 citations · 241 across the 29 of their papers we have counts for
29 papers
A Bianchi-Calo method for Bryant type surfaces
F. E. Burstall, U. Hertrich-Jeromin, G. Szewieczek
We present a Bianchi-Calo type construction method for Bryant type linear Weingarten surfaces in hyperbolic space.
Bonnet pairs, isothermic surfaces and the retraction form
F. E. Burstall, T. Hoffmann, F. Pedit +1
We give a modern account of the classical theory of Bianchi \cite{Bia03} (see also \cite{KamPedPin98}) relating isothermic surfaces to Bonnet pairs. The main novelty is to identify…
Harmonic Riemannian submersions between Riemannian symmetric spaces of noncompact type
F. E. Burstall
We construct harmonic Riemannian submersions that are retractions from symmetric spaces of noncompact type onto their rank-one totally geodesic subspaces. Among the consequences, w…
Isothermic surfaces and conservation laws
F. E. Burstall, E. Carberry, U. Hertrich-Jeromin +1
For CMC surfaces in -dimensional space forms, we relate the moment class of Korevaar--Kusner--Solomon to a second cohomology class arising from the integrable systems theory of…
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.
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…