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 2019Show all

3 papers · 1 filter

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…

math.DG2019★ 1 cited

Wide short geodesic loops on closed Riemannian manifolds

Regina Rotman

It is not known whether or not the lenth of the shortest periodic geodesic on a closed Riemannian manifold $M^{n}$ can be majorized by $c (n) v o l^{\frac{1}{n}}$ , or $c ~ (n) d$ , wh…

math.DG2019

Filling metric spaces

Yevgeny Liokumovich, Boris Lishak, Alexander Nabutovsky +1

We prove a new version of isoperimetric inequality: Given a positive real $m$ , a Banach space $B$ , a closed subset $Y$ of metric space $X$ and a continuous map $f : Y \to B$ …