R. Rotman

activity

20022025

most citedContracting the boundary of a Riemannian 2-disc

11 citations · 17 across the 9 of their papers we have counts for

collaborators

Showing 2022Show all

2 papers · 1 filter

math.DG2022

Geodesic nets on non-compact Riemannian manifolds

Gregory R. Chambers, Yevgeny Liokumovich, Alexander Nabutovsky +1

A geodesic flower is a finite collection of geodesic loops based at the same point $p$ that satisfy the following balancing condition: The sum of all unit tangent vectors to all ge…

math.DG2022

Positive Ricci Curvature and the Length of a shortest periodic geodesic

Regina Rotman

Let $M^{n}$ be a closed Riemannian manifold of dimension $n \geq 2$ , with Ricci curvature $R i c \geq n - 1$ . We will show that any sphere of dimension $m$ in the space of closed loops on…