Short loops in surfaces with a circular boundary component

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, t...

Descripción completa

Detalles Bibliográficos
Autor principal: Papasoglu, P
Formato: Journal article
Lenguaje:English
Publicado: World Scientific Publishing 2018