Area formula for spherical polygons via prequantization
Fuente:
arXiv
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| Main Authors: | , |
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| Format: | Preprint |
| Published: |
2023
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| Subjects: | |
| Online Access: | |
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| _version_ | 1866915682122203136 |
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| author | Chern, Albert Ishida, Sadashige |
| author_facet | Chern, Albert Ishida, Sadashige |
| contents | 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. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2303_14555 |
| institution | arXiv |
| publishDate | 2023 |
| record_format | arxiv |
| spellingShingle | Area formula for spherical polygons via prequantization Chern, Albert Ishida, Sadashige Differential Geometry Symplectic Geometry 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. |
| title | Area formula for spherical polygons via prequantization |
| topic | Differential Geometry Symplectic Geometry |
| url | https://arxiv.org/abs/2303.14555 |