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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...
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,...
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...
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...
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...
Conformal maps from a 2-torus to the 4-sphere (with C Bohle, K Leschke, and U Pinkall), Mathematics and Statistics Department Faculty Publication Series (2007)
We study the space of conformal immersions of a 2-torus into the 4-sphere. The moduli...
Envelopes and osculates of Willmore surfaces (with K Leschke), Journal of the London Mathematical Society-Second Series (2007)
We view conformal surfaces in the 4-sphere as quaternionic holomorphic curves in quaternionic projective space....
Willmore tori in the 4-sphere with nontrivial normal bundle (with K Leschke and U Pinkall), Mathematische Annalen (2005)
Conformal Geometry of Surfaces in S4 and Quaternions (with F Burstall, D Ferus, K Leschke, and U Pinkall), Mathematics and Statistics Department Faculty Publication Series (2002)
Schwarzian derivatives and flows of surfaces (with F Burstall and U Pinkall), Differential Geometry and Integrable Systems (2002)
Periodic discrete conformal maps (with U Hertrich-Jeromin, I McIntosh, and P Norman), Journal Fur Die Reine Und Angewandte Mathematik (2001)
Quaternionic holomorphic geometry: Plucker formula, Dirac eigenvalue estimates and energy estimates of harmonic 2-tori (with D Ferus, K Leschke, and U Pinkall), Inventiones Mathematicae (2001)
Bonnet pairs and isothermic surfaces (with G Kamberov and U Pinkall), Duke Mathematical Journal (1998)
In this note we classify all Bonnet pairs on a simply connected domain. Our main...
Weierstrass type representation of harmonic maps into symmetric spaces (with J Dorfmeister and H Wu), Communications and Analysis of Geometry (1998)
Curved flats and isothermic surfaces (with F Burstall, U HertrichJeromin, and U Pinkall), Mathematische Zeitschrift (1997)
On the meromorphic potential for a harmonic surface in a k-symmetric space (with J Dorfmeister, I McIntosh, and HY Wu), Manuscripta Mathematica (1997)
Curved flats in symmetric spaces (with D Ferus), Manuscripta Mathematica (1996)
This is the pre-published version harvested from arXiv. The published version is located at http://www.springerlink.com/content/t0j0rt535w428334/
Isometric immersions of space forms and soliton theory (with D Ferus), Mathematische Annalen (1996)
Discreditizing constant curvature surfaces via loop group factorizations - the discrete sine-Gordon and Sinh-Gordon equations (with HY Wu), Journal of Geometry and Physics (1995)
The sine- and sinh-Gordon equations are the harmonic map equations for maps of the (Lorentz)...
Dressing orbits of harmonic maps (with FE Burstall), Duke Mathematical Journal (1995)
We study the harmonic map equations for maps of a Riemann surface into a Riemannian...