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

In real space forms, Fraser and Schoen proved that a free-boundary minimaldisk in a geodesic ball is totally geodesic. In this note, we considerfree-boundary minimal surfaces $\Sigma$ (of any genus) in geodesic balls ofcomplex space forms. In $\mathbb{CP}^2$, $\mathbb{C}^2$ and $\mathbb{CH}^2$, weshow that if $\Sigma$ is Lagrangian, then $\Sigma$ is totally geodesic. In$\mathbb{CP}^n$, $\mathbb{C}^n$ and $\mathbb{CH}^n$ for $n \geq 2$, we showthat if $\Sigma$ has K\"{a}hler angle $\pi/2$, then $\Sigma$ is superminimal.

Free-Boundary Minimal Surfaces of Constant Kahler Angle in Complex Space Forms