F. Pedit

collaborators

4 papers

math.DG2026

Embedded special Legendrian surfaces in $S^{5}$

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 $k$,…

math.DG2026

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-…

math.DG2025

Classification of Willmore $2$ -spheres in $S^{n}$

Xiang Ma, Franz Pedit, Peng Wang

This paper resolves a long-standing open problem by providing a classification of Willmore $2$ -spheres in $S^{n}$ . We show that any such $2$ -sphere is either totally isotropic--origi…

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…

Embedded special Legendrian surfaces in S5

A comment on full discretized isothermic tori in Euclidean spaces

Classification of Willmore 2-spheres in Sn

Bonnet pairs, isothermic surfaces and the retraction form

Embedded special Legendrian surfaces in $S^{5}$

Classification of Willmore $2$ -spheres in $S^{n}$