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 Open

Presents the pdf analysis as premium feature

PDF Analysis

Insights

Presents the summarisation as premium feature

Summarisation

Presents the keyphrase highlighting as premium feature

Keyphrase Highlighting

Presents the zaia usage as premium feature

ZAIA

Zendy Tools

Zendy Plus

Presents the access of premium content as premium feature

Premium Content

In this paper, we give a sharp spectral characterization of conformally compact Einstein manifolds with conformal infinity of positive Yamabe type in dimension  n  + 1 &gt; 2. More precisely, we prove that the largest real scattering pole of a conformally compact Einstein manifold ( X, g ) is less than  n /2 − 1 if and only if the conformal infinity of ( X, g ) is of positive Yamabe type. If this positivity is satisfied, we also show that the Green function of the fractional conformal Laplacian  P (α) on the conformal infinity is nonnegative for all α ∈ [0,2].

Spectral Characterization of Poincaré–Einstein Manifolds with Infinity of Positive Yamabe Type