Some rigidity theorems of closed curves in a CAT(k) space

Autor: Areeyuth Sama-Ae, Aniruth Phon-on, Nifatamah Makaje, Areena Hazanee, Pakwan Riyapan
Rok vydání: 2023
DOI: 10.21203/rs.3.rs-2622683/v1
Popis: In this paper, the characterizations of a closed polygonal curve in a CAT(k) space that bounds a geodesic surface which is isomet-ric to the region bounded by a polygon in the model space Sk with same perimeter are studied. The characterizations of a closed spherical curve in a CAT(k) space that bounds a geodesic surface which is isometric to the disk bounded by a circle in the model space Sk with same radii are also illustrated. Mathematics Subject Classification (2010). 51K99.
Databáze: OpenAIRE