Short loops in surfaces with a circular boundary component

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...

Полное описание

Библиографические подробности
Главный автор:	Papasoglu, P
Формат:	Journal article
Язык:	English
Опубликовано:	World Scientific Publishing 2018

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