Some Characterizations of a Closed Geodesic Polygon and a Closed Spherical Curve in a CAT(k) Space

Annual Meeting in Mathematics 2024

Authors

  • Areeyuth Sama-Ae Prince of Songkla University
  • Aniruth Phon-on
  • Nifatamah Makaje
  • Areena Hazanee
  • Pakwan Riyapan

Keywords:

CAT(k), total curvature, convex hull, closed geodesic polygon, closed spherical curve

Abstract

This study examines the properties of a closed geodesic polygon in a CAT(k) space that contains a geodesic surface, which is isomorphic to the region enclosed by a polygon with the same perimeter in the model space S_k. This study demonstrates the characteristics of a closed spherical curve in a CAT(k) space, which serves as the boundary for a geodesic surface. This surface is isomorphic to a disk enclosed by a circle in the model space S_k, with equal radii in the CAT(k) space.

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Published

2025-03-31

How to Cite

Sama-Ae, A., Phon-on, A., Makaje, N., Hazanee, A., & Riyapan, P. (2025). Some Characterizations of a Closed Geodesic Polygon and a Closed Spherical Curve in a CAT(k) Space: Annual Meeting in Mathematics 2024. Thai Journal of Mathematics, 23(1), 185–196. Retrieved from https://thaijmath2.in.cmu.ac.th/index.php/thaijmath/article/view/1774

Issue

Vol. 23 No. 1 (2025): March

Section

Articles