3 papers
math.DG2026
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.
math.DG2025
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…
math.DG2024
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…