17 citations · 54 across the 10 of their papers we have counts for
10 papers
Conformal deformations of immersed discs in and elliptic boundary value problems
Christoph Bohle, Ulrich Pinkall
Boundary value problems for operators of Dirac type arise naturally in connection with the conformal geometry of surfaces immersed in Euclidean 3--space. Recently such boundary val…
Spectral curves for Cauchy-Riemann operators on punctured elliptic curves
Christoph Bohle, Iskander A. Taimanov
We show that one can define a spectral curve for the Cauchy-Riemann operator on a punctured elliptic curve if one imposes appropriate boundary conditions. Algebraic curves of the t…
Euclidean minimal tori with planar ends and elliptic solitons
Christoph Bohle, Iskander A. Taimanov
A Euclidean minimal torus with planar ends gives rise to an immersed Willmore torus in the conformal 3--sphere . The class of Willmore tori obtained this w…
Soliton Spheres
Christoph Bohle, G. Paul Peters
Soliton spheres are immersed 2-spheres in the conformal 4-sphere S^4=HP^1 that allow rational, conformal parametrizations f:CP^1->HP^1 obtained via twistor projection and dualizati…
The spectral curve of a quaternionic holomorphic line bundle over a 2-torus
Christoph Bohle, Franz Pedit, Ulrich Pinkall
A conformal immersion of a 2-torus into the 4-sphere is characterized by an auxiliary Riemann surface, its spectral curve. This complex curve encodes the monodromies of a certain D…
Constant mean curvature tori as stationary solutions to the Davey-Stewartson equation
Christoph Bohle
A well known result of Da Rios and Levi-Civita says that a closed planar curve is elastic if and only if it is stationary under the localized induction (or smoke ring) equation, wh…