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Area formula for spherical polygons via prequantization

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اقرأ أكثر حفظ في قائمتي
  • المؤلفون: Chern, Albert; Ishida, Sadashige
  • المصدر:
    Chern A, Ishida S. Area formula for spherical polygons via prequantization. SIAM Journal on Applied Algebra and Geometry . 2024;8(3):782-796. doi: 10.1137/23M1565255
  • نوع التسجيلة:
    article in journal/newspaper
  • اللغة:
    English
  • معلومة اضافية
    • بيانات النشر:
      Society for Industrial and Applied Mathematics
    • الموضوع:
      2024
    • Collection:
      IST Austria Research Explorer (Institute of Science and Technology)
    • نبذة مختصرة :
      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.
    • Relation:
      info:eu-repo/semantics/altIdentifier/issn/2470-6566; info:eu-repo/semantics/altIdentifier/arxiv/2303.14555; info:eu-repo/grantAgreement/FWF//101045083
    • الدخول الالكتروني :
      https://research-explorer.ista.ac.at/record/12846
    • Rights:
      info:eu-repo/semantics/openAccess
    • الرقم المعرف:
      edsbas.6F0DDE6