Year: 2026
Type: article
Abstract: We show how inscription problems in the plane can be generalised to Riemannian surfaces of constant curvature. We then use ideas from symplectic and Riemannian geometry to prove these generalised versions for smooth Jordan curves in the hyperbolic plane, and we prove a rectangular inscription theorem for smooth Jordan curves on the two sphere that do not intersect their antipodal.
Author: ALI NASERI SADR
Institution: Boston College
Language: English
Topic: Mathematics and Applications
Subfield: Geometry and Topology
Field: Mathematics
Domain: Physical Sciences
Open Access status: hybrid
Estimated APC paid: $3,550
OpenAlex ID: W4416288275
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