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...

詳細記述

書誌詳細
第一著者: Papasoglu, P
フォーマット: Journal article
言語:English
出版事項: World Scientific Publishing 2018