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

We give a sharp lower bound for the number of geometrically distinctcontractible periodic orbits of dynamically convex Reeb flows onprequantizations of symplectic manifolds that are not aspherical. Severalconsequences of this result are obtained, like a new proof that every bumpyFinsler metric on $S^n$ carries at least two prime closed geodesics,multiplicity of elliptic and non-hyperbolic periodic orbits for dynamicallyconvex contact forms with finitely many geometrically distinct contractibleclosed orbits and precise estimates of the number of even periodic orbits ofperfect contact forms. We also slightly relax the hypothesis of dynamicalconvexity. A fundamental ingredient in our proofs is the common index jumptheorem due to Y. Long and C. Zhu.

Multiplicity of periodic orbits for dynamically convex contact forms