Short loops in surfaces with a circular boundary component

Author: 

Papasoglu, P

Publication Date: 

24 September 2018

Journal: 

Journal of Topology and Analysis

Last Updated: 

2020-07-12T05:41:04.623+01:00

DOI: 

10.1142/S1793525319500602

abstract: 

It is a classical theorem of Loewner that the systole of a Riemannian torus can be bounded in terms of its area. We answer a question of a similar flavor of Robert Young showing that if S is a Riemannian surface with connected boundary in Rn, such that the boundary curve is a standard unit circle, then the length of the shortest non-contractible loop in S is bounded in terms of the area of S.

Symplectic id: 

602029

Submitted to ORA: 

Submitted

Publication Type: 

Journal Article