3 papers
math.DG2026
Approximation and interactive design with exact 3D elastic curves
David Brander, Jens Gravesen, Marc Isern
An elastic space curve is a critical point of the bending energy subject to appropriate constraints. An analytic representation, equivalent to the spherical pendulum equation, lead…
math.DG2025
Tileable Surfaces
David Brander, Jens Gravesen
We study -regular surfaces in that admit tilings by a finite number of rigid motion congruence classes of tiles. We construct examples with various topologies and presen…
math.DG2024
Gauss maps of Möbius surfaces in the -dimensional sphere
David Brander, Shimpei Kobayashi, Peng Wang
In this note we discuss Gauss maps for Möbius surfaces in the -sphere, and their applications in the study of Willmore surfaces. One such ``Gauss map'', naturally associated to…