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 Tools annual

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 Tools monthly

Global: Zendy Plus monthly

Presents the access of premium content as premium feature

Premium Content

Global: Zendy Plus annual

Global: Zendy Free Plan

We prove that in a certain class of conformal data on an asymptoticallycylindrical manifold, if the conformally decomposed Einstein constraintequations do not admit a solution, then one can always find a nontrivialsolution to the limit equation first explored by Dahl, Gicquaud, and Humbert in[DGH11]. We also give an example of a Ricci curvature condition on the manifoldwhich precludes the existence of a solution to this limit equation, showingthat such a limit criterion can be a useful tool for studying the Einsteinconstraint equations on manifolds with asymptotically cylindrical ends.

A limit equation criterion for applying the conformal method to asymptotically cylindrical initial data sets