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

In this paper we focus on the interplay between the behaviour of theFr\"olicher spectral sequence and the existence of special Hermitian metrics onthe manifold, such as balanced, SKT or generalized Gauduchon. The study ofbalanced metrics on nilmanifolds endowed with strongly non-nilpotent complexstructures allows us to provide infinite families of compact balanced manifoldswith Fr\"olicher spectral sequence not degenerating at the second page.Moreover, this result is extended to non-degeneration at any arbitrary page.Similar results are obtained for the Fr\"olicher spectral sequence of compactgeneralized Gauduchon manifolds. We also find a compact SKT manifold whoseFr\"olicher spectral sequence does not degenerate at the second page, thusproviding a counterexample to a conjecture by Popovici.

Fr\"olicher spectral sequence of compact complex manifolds with special Hermitian metrics