38 citations · 210 across the 28 of their papers we have counts for
28 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.
Affine manifolds: The differential geometry of the multi-dimensionally consistent TED equation
W. K. Schief, U. Hertrich-Jeromin, B. G. Konopelchenko
It is shown that a canonical geometric setting of the integrable TED equation is a Kahlerian tangent bundle of an affine manifold. The remarkable multi-dimensional consistency of t…
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…
Symmetry breaking in geometry
Andreas Fuchs, Udo Hertrich-Jeromin, Mason Pember
A geometric mechanism that may, in analogy to similar notions in physics, be considered as "symmetry breaking" in geometry is described, and several instances of this mechanism in…
Notes on flat fronts in hyperbolic space
Juliette Dubois, Udo Hertrich-Jeromin, Gudrun Szewieczek
We give a short introduction to discrete flat fronts in hyperbolic space and prove that any discrete flat front in the mixed area sense admits a Weierstrass representation.
Channel linear Weingarten surfaces in space forms
Udo Hertrich-Jeromin, Mason Pember, Denis Polly
Channel linear Weingarten surfaces in space forms are investigated in a Lie sphere geometric setting, which allows for a uniform treatment of different ambient geometries. We show…