February 29, 2024Open Access

Closed geodesics on hyperbolic surfaces with few intersections

Puntos clave

Los puntos clave no están disponibles para este artículo en este momento.

Resumen

We prove that, if a closed geodesic on a complete finite type hyperbolic surface has at least 2 self-intersections, then the length of has an lower bound 2 (5+26), and the lower bound is sharp, attained on a corkscrew geodesic on a thrice punctured sphere.

Leer artículo completoexternamente

Preguntar a la IA

Me gusta

Guardar

Ver artículo completo

Cite This Study

Wujie Shen (Thu,) studied this question.

synapsesocial.com/papers/68e76fa2b6db6435876e555f https://doi.org/https://doi.org/10.48550/arxiv.2403.00243

Also Consider

Synapse has enriched 5 closely related papers on similar clinical questions. Consider them for comparative context:

1On the first width of hyperbolic surfaces: multiplicity and lower bounds2025
2Intersection Points of Closed Geodesics on Hyperbolic Surfaces of Finite Area2025
3Closed geodesics with prescribed intersection numbers2024 · 3 citations
4Closed geodesics and the first Betti number2024
5Closed geodesics and the first Betti number2025

Preguntar a la IA

Me gusta

Guardar

Ver artículo completo