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

This paper proves a general collapsing result for families of stratifiedRiemannian metrics $\widehat{g}^\mu$ on a compact orbifold $E$, subject tosuitable limiting conditions on the metrics $\widehat{g}^\mu$ as $\mu \to\infty$. The result is distinct from similar theorems in the literature sinceit does not require bounds on curvature or injectivity radius of$\left(E,\widehat{g}^\mu\right)$ and thus allows for Gromov-Hausdorff limits of$\left(E,\widehat{g}^\mu\right)$ which have strictly lower dimension than $E$.The paper also introduces and studies a new class of stratified fibrationsbetween orbifolds, termed weak submersions, and new classes of geometricstructures on orbifolds, termed stratified Riemannian metrics, stratifiedRiemannian semi-metrics and stratified quasi-Finslerian structures, all ofwhich play a key role in the proof of the main theorem.

A general collapsing result for families of stratified Riemannian metrics on orbifolds