TY - JOUR
AB - 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.
AU - Chern, Albert
AU - Ishida, Sadashige
ID - 12846
IS - 3
JF - SIAM Journal on Applied Algebra and Geometry
TI - Area formula for spherical polygons via prequantization
VL - 8
ER -