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math.DG2026
Elastic Curves via Geometric Mechanics
Oliver Gross, Rohit Jammula, Albert Chern
Elastic curves are the mathematical shapes of thin elastic rods in equilibrium, with deep connections to mechanics, geometry, and computer graphics. Traditionally described as stat…
math.DG2024
Elastic Curves with Variable Bending Stiffness
Oliver Gross, Ulrich Pinkall, Moritz Wahl
We study stationary points of the bending energy of curves subject to constraints on the arc-length and the curve's holonomy while simultaneously allo…
math.DG2023
Force-Free Fields are Conformally Geodesic
Albert Chern, Oliver Gross
In this paper, we establish an equivalence between force-free fields and conformally geodesic fields, and between harmonic fields and conformally eikonal fields in the context of c…