Area formula for spherical polygons via prequantization

Published 25 Mar 2023 in math.DG and math.SG | (2303.14555v2)

Abstract: 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 measuring angles, the new formula mimics Green's theorem and is applicable to a wider range of degenerate spherical curves and polygons.

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