English (United Kingdom)

https://curated-unify.zendy.io/wp-json/zendy-region/v1/featured_content/oa?rat=en

https://curated-unify.zendy.io/wp-json/zendy-region/v1/highlighted_journal/

Zendy Plus

Presents the access of premium content as premium feature

Premium Content

Presents the keyphrase highlighting as premium feature

Keyphrase Highlighting

Presents the summarisation as premium feature

Summarisation

Insights

Presents the pdf analysis as premium feature

PDF Analysis

Presents the zaia usage as premium feature

ZAIA

Zendy Tools

Zendy Open

The systole of a compact non simply connected Riemannian manifold is thesmallest length of a non-contractible closed curve ; the systolic ratio is thequotient $(\mathrm{systole})^n/\mathrm{volume}$. Its supremum on the set of allthe riemannian metrics, is known to be finite for a large class of manifolds,including the $K(\pi,1)$. We study the optimal systolic ratio of compact,3-dimensional non orientable Bieberbach manifolds, and prove that it cannot berealized by a flat metric.

Sur la g\'eom\'etrie systolique des vari\'et\'es de Bieberbach