73 citations · 151 across the 25 of their papers we have counts for
6 papers · 1 filter
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…
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…
Area formula for spherical polygons via prequantization
Albert Chern, Sadashige Ishida
We present a formula for the signed area of a spherical polygon via prequantization. In contrast to the traditional formula based on the Gauss-Bonnet theorem that requires measurin…
Finding Conformal and Isometric Immersions of Surfaces
Albert Chern, Felix Knöppel, Franz Pedit +2
We introduce a family of variational functionals for spinor fields on a compact Riemann surface that can be used to find close-to-conformal immersions of into $\mathbb{R}^3…
Commuting Hamiltonian flows of curves in real space forms
Albert Chern, Felix Knöppel, Franz Pedit +1
Starting from the vortex filament flow introduced in 1906 by Da Rios, there is a hierarchy of commuting geometric flows on space curves. The traditional approach relates those flow…
Constrained Willmore Surfaces
Christoph Bohle, G. Paul Peters, Ulrich Pinkall
Constrained Willmore surfaces are conformal immersions of Riemann surfaces that are critical points of the Willmore energy under compactly supported infinitesimal conf…