Systoles of Surfaces and 3-Manifolds
Lizhi Chen, Weiping Li · Contemporary mathematics - American Mathematical Society · 2015
In this article, we survey systolic inequalities and systolic freedoms for surfaces and 3 3 -manifolds. We investigate the optimal systolic ratio and the realized metric for surfaces, and discuss systolic inequalities and systolic freedoms of homotopy, homology, stable and conformal systoles for 3-manifolds. Both classical results and recent developments are summarized in the article.