3 citations · 7 across the 4 of their papers we have counts for
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Families of conformal tori of revolution in the 3-sphere
K. Leschke
For all positive integers n we construct a 1-parameter family of conformal tori of revolution in the 3-sphere with n bulges. These tori arise by Darboux transformations of constant…
Darboux transforms and spectral curves of Hamiltonian stationary Lagrangian tori
K. Leschke, P. Romon
The multiplier spectral curve of a conformal torus in the 4-sphere is essentially, see arXiv:0712.2311, given by all Darboux transforms of the conformal torus. In the particular ca…
Willmore tori in the 4-sphere with nontrivial normal bundle
K. Leschke, F. Pedit, U. Pinkall
We characterize Willmore tori in the 4-sphere with nontrivial normal bundle as Twistor projections of elliptic curves in complex projective space or as inverted minimal tori (with…
Willmore spheres in quaternionic projective space
K. Leschke
The Willmore energy for Frenet curves in quaternionic projective space is the generalization of the Willmore functional for immersions into the 4-sphere. Critical points of the Wil…