# A geometric property of closed geodesics on hyperbolic surfaces

## TL;DR

This paper investigates the geometric properties of closed geodesics on hyperbolic surfaces, providing bounds on their intersection angles, self-intersections, and polygon sides based solely on geodesic lengths.

## Contribution

It introduces new bounds for intersection angles and polygon sides of closed geodesics depending only on their lengths, advancing understanding of hyperbolic surface geometry.

## Key findings

- Bounds for intersection angles of geodesics
- Limits on self-intersection numbers
- Constraints on polygon side lengths

## Abstract

We study closed geodesics on hyperbolic surfaces, and give bounds for their angles of intersection and self-intersection, and for the sides of the polygons that they form, depending only on the lengths of the geodesics