Some Rigidity Theorems of Closed Geodesic Polygons and Spherical Curves in Metric Spaces with Curvature Bounded Below

This paper examines characterizations of closed curves in a geodesic metric space with curvature bounded below, including closed geodesic polygons and closed spherical curves bounding surfaces isometric to convex polygons and circles in the model space.

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Publication Details

Journal
European Journal of Pure and Applied Mathematics
Published
2024-10-31
DOI
https://doi.org/10.29020/nybg.ejpam.v17i4.5571
Primary Topic
Algebraic and Geometric Analysis
Type
article
Field-Weighted Citation Impact
0.00

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article

Some Rigidity Theorems of Closed Geodesic Polygons and Spherical Curves in Metric Spaces with Curvature Bounded Below

Areeyuth Sama-Ae, Chanpen Phokaew
European Journal of Pure and Applied Mathematics
Algebraic and Geometric Analysis
article

Some Rigidity Theorems of Closed Geodesic Polygons and Spherical Curves in Metric Spaces with Curvature Bounded Below

Areeyuth Sama-Ae, Chanpen Phokaew
article en

Abstract

This paper examines characterizations of closed curves in a geodesic metric space with curvature bounded below, including closed geodesic polygons and closed spherical curves bounding surfaces isometric to convex polygons and circles in the model space.

European Journal of Pure and Applied MathematicsVol. 17(4)
Prince of Songkla University (TH)
Prince of Songkla University
Sustainable cities and communities
Openalex Percentile: Top 68%
Algebraic and Geometric Analysis
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Some Rigidity Theorems of Closed Geodesic Polygons and Spherical Curves in Metric Spaces with Curvature Bounded Below — Areeyuth Sama-Ae, Chanpen Phokaew · European Journal of Pure and Applied Mathematics (2024) | TGRS Research Map | TGRS