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/

Global: Zendy Plus annual

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

Global: Zendy Plus monthly

Global: Zendy Tools annual

Global: Zendy Tools monthly

Global: Zendy Free Plan

We show that the identity component Diff(M)0 of the group of Cr diffeomorphisms of a compact (2m)-dimensional manifold M2m (1 ≤ r ≤ ∞, r = 2m + 1) is uniformly perfect for 2m ≥ 6, i.e., any element of Diff(M)0 can be written as a product of a bounded number of commutators. It is also shown that for a compact connected manifold M2m (2m ≥ 6), the identity component Diff(M)0 of the group of Cr diffeomorphisms of M2m (1 ≤ r ≤ ∞, r = 2m + 1) is uniformly simple, i.e., for elements f and g of Diff(M)0 \ {id}, f can be written as a product of a bounded number of conjugates of g or g−1.

On the uniform perfectness of the groups of diffeomorphisms of even-dimensional manifolds