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Complex surfaces of constant mean curvature fibered by minimal surfaces (with J Dorfmeister and S Kobayashi), Hokkaido Mathematical Journal (2010)

We define complex constant mean curvature immersions in complex three space using a natural extension...

 

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Isothermic submanifolds of symmetric $R$-spaces (with F Burstall, N Donaldson, and U Pinkall), Mathematics and Statistics Department Faculty Publication Series (2010)

We extend the classical theory of isothermic surfaces in conformal 3-space, due to Bour, Christoffel,...

 

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Discrete holomorphic geometry I. Darboux transformations and spectral curves (with C Bohle and U Pinkall), Journal Fur Die Reine Und Angewandte Mathematik (2009)

Finding appropriate notions of discrete holomorphic maps and, more generally, conformal immersions of discrete Riemann...

 

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The spectral curve of a quaternionic holomorphic line bundle over a 2-torus (with C Bohle and U Pinkall), Manuscripta Mathematica (2009)

A conformal immersion of a 2-torus into the 4-sphere is characterized by an auxiliary Riemann...

 

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Sequences of willmore surfaces (with K Leschke), Mathematische Zeitschrift (2008)

In this paper we develop the theory of Willmore sequences for Willmore surfaces in the...