514 citations
- Chemnitz University of TechnologyDE2 papers
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5 papers · 1 filter
Some Ropelength-Critical Clasps
John M. Sullivan, Nancy C. Wrinkle
We describe several configurations of clasped ropes which are balanced and thus critical for the Gehring ropelength problem of arXiv:math.DG/0402212.
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…
Minimal surfaces from circle patterns: Geometry from combinatorics
Alexander I. Bobenko, Tim Hoffmann, Boris A. Springborn
We suggest a new definition for discrete minimal surfaces in terms of sphere packings with orthogonally intersecting circles. These discrete minimal surfaces can be constructed fro…
Tri-hamiltonian Toda lattice and a canonical bracket for closed discrete curves
Nadja Kutz
Flows on (or variations of) discrete curves in give rise to flows on a subalgebra of functions on that curve. For a special choice of flows and a certain subalgebra this is…
Parallel surfaces in affine 4-space
C. Scharlach, L. Vrancken
We study affine immersions as introduced by Nomizu and Pinkall. We classify those affine immersions of a surface in 4-space which are degenerate and have vanishing cubic form (i.e.…