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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…
math.DG2023
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…