I. Beach

activity

20192025

most citedThe Length of the Shortest Closed Geodesic on a Surface of Finite Area

1 citations · 1 across the 2 of their papers we have counts for

collaborators

3 papers

math.DG2025

Lengths of Orthogonal Geodesic Chords on Riemannian Manifolds

Isabel Beach, Haydeé Contreras-Peruyero, Erin Griffin +2

Let $N$ be a closed submanifold of a complete manifold, $M$ . Then under certain topological conditions, there exists an orthogonal geodesic chord beginning and ending in $N$ . In th…

math.DG2024

Linear Bounds for the Lengths of Geodesics on Manifolds With Curvature Bounded Below

Isabel Beach, Haydeé Contreras Peruyero, Regina Rotman +1

Let $M$ be a simply connected Riemannian manifold in $M_{k, v}^{D} (n)$ , the space of closed Riemannian manifolds of dimension $n$ with sectional curvature bounded below by $…

math.DG2019★ 1 cited

The Length of the Shortest Closed Geodesic on a Surface of Finite Area

I. Beach, R. Rotman

In this paper we prove new upper bounds for the length of a shortest closed geodesic, denoted $l (M)$ , on a complete, non-compact Riemannian surface $M$ of finite area $A$ . We will…