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 Pro

Presents the zaia usage as premium feature

ZAIA

Presents AI Discovery search usage as a premium feature

AI Discovery

Presents AI Discovery explain and summary usage as a premium feature

Content Analysis

Presents the keyphrase highlighting as premium feature

Keyphrase Highlighting

Presents the summarisation as premium feature

Summarisation

Presents the pdf analysis as premium feature

PDF Analysis

1500 Top-up

3000 Top-up

Zendy Basic

2500 Top-up

Zendy Unlimited

Presents the access of premium content as premium feature

Premium Content

Let Mn and Mn+i be Riemannian manifolds of dimension n and n+1 respectively. Assume Mn isometrically immersed in Mn+iIf each point p of Mn is contained in an open neighborhood U<ZMn (which may depend on p) such that no open submanifold of U is rigid in Sn+u then Mn is called locally deformable in Mn+i> This concept allowed us to show that the result of NaganoTakahashi [3] holds without any restriction, i.e. that any homogeneous hypersurface of the Euclidean space JSn+i is isometric to the Riemannian product of a ^-dimensional sphere and an n—p dimensional Euclidean space. This result is a consequence of the following

Rigidity of hypersurfaces of constant scalar curvature