2 papers
math.DG2025
Quaternionic Analysis of Conformal Maps and the Willmore Functional
Ross Ogilvie, Martin Ulrich Schmidt
Quaternionic analysis, which describes conformal maps from Riemann surfaces into or , is extended to weakly conformal maps. As a consequence we present…
math.DG2025
Blowing up sequences of constant mean curvature tori in to minimal surfaces
Emma Carberry, Sebastian Klein, Martin Ulrich Schmidt
This paper is motivated by the question of whether a sequence of solutions of a given integrable system can be blown up to obtain a solution of a different integrable system in the…