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 Tools annual

Global: Zendy Free Plan

Global: Zendy Tools monthly

Global: Zendy Plus monthly

In a previous paper, the authors together with L. Vrancken initiated thestudy of $3$-dimensional CR submanifolds of the nearly K\" ahler homogeneous$\mathbb S^3\times \mathbb S^3$. As is shown by Butruille this is one of onlyfour homogeneous $6$-dimensional nearly K\"ahler manifolds. Besides its almostcomplex structure $J$ it also admits a canonical almost product structure $P$.Along a $3$-dimensional CR submanifold the tangent space of $\mathbbS^3\times\mathbb S^3$ can be naturally split as the orthogonal sum of three$2$-dimensional vector bundles $\mathcal D_1$, $\mathcal D_2$ and $\mathcalD_3$. We study the CR submanifolds in relation to the behavior of the almostproduct structure on these vector bundles.

CR submanifolds of the nearly K\" ahler $\mathbb S^3\times\mathbb S^3$ characterised by properties of the almost product structure