The length of a shortest closed geodesic on a surface of finite area

DOI10.1090/proc/15194zbMath1455.53068arXiv1912.07711OpenAlexW3045740077MaRDI QIDQ5130880

Regina Rotman, I. Beach

Publication date: 29 October 2020

Published in: Proceedings of the American Mathematical Society (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1912.07711

zbMATH Keywords

closed geodesicsco-area formulacomplete Riemannian surfacesgeodesic nets

Mathematics Subject Classification ID

Geodesics in global differential geometry (53C22) Global geometric and topological methods (à la Gromov); differential geometric analysis on metric spaces (53C23) Variational problems in applications to the theory of geodesics (problems in one independent variable) (58E10)

Related Items

Sharp upper bounds on the length of the shortest closed geodesic on complete punctured spheres of finite area ⋮ Curvature-free linear length bounds on geodesics in closed Riemannian surfaces ⋮ The first width of non-negatively curved surfaces with convex boundary

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