Investigador Doctor Senior
2022 - 2024
During the funding period, the following results were achieved:
1. A curvature for convex polygons in two-dimensional space forms was defined and justified. A generalization of Blaschke's theorem was proven, establishing an inequality relating the polygon's circumradius to its curvature.
2. For convex polygons on Hadamard surfaces with bounded curvature, an upper bound for the circumradius was determined in terms of a lower bound on the curvature of the polygon's vertices.
3. In the third subproject, geodesic loops on tetrahedra in spherical and hyperbolic spaces were explored.
Selected publications
https://doi.org/10.15407/mag20.02.195