94 citations · 163 across the 25 of their papers we have counts for
25 papers
Embedded special Legendrian surfaces in
Sebastian Heller, Franz Pedit, Charles Ouyang
We construct the first smooth embedded compact special Legendrian surfaces in \(\mathbb S^5\) of genus greater than one. More precisely, for every sufficiently large integer \(k\),…
A comment on full discretized isothermic tori in Euclidean spaces
K. Leschke, F. Pedit, W. Rossman
Using discretized orthogonal systems (curvature line systems) with periodicity, created using Darboux transformations and their permutability, we have discrete and semi-discrete k-…
Classification of Willmore -spheres in
Xiang Ma, Franz Pedit, Peng Wang
This paper resolves a long-standing open problem by providing a classification of Willmore -spheres in . We show that any such -sphere is either totally isotropic--origi…
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…
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…
Higgs bundles and SYZ geometry
Sebastian Heller, Charles Ouyang, Franz Pedit
Using non-Abelian Hodge theory for parabolic Higgs bundles, we construct infinitely many non-congruent hyperbolic affine spheres modeled on a thrice-punctured sphere with monodromy…