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 Plus

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

Zendy Tools

Zendy Open

The Fock-Bargmann-Hartogs domain $D_{n,m}$ in $\mathbb{C}^{n+m}$ is definedby the inequality $\|w\|^2<e^{-\|z\|^2},$ where $(z,w)\in \mathbb{C}^n\times\mathbb{C}^m$, which is an unbounded non-hyperbolic domain in$\mathbb{C}^{n+m}$. This paper mainly consists of three parts. Firstly, we givethe explicit expression of geodesics of $D_{n,1}$ in the sense of Kobayashipseudometric; Secondly, using the formula of geodesics, we calculate explicitlythe Kobayashi pseudometric on $D_{1,1}$; Lastly, we establish the Schwarz lemmaat the boundary for holomorphic mappings between the nonequidimensionalFock-Bargmann-Hartogs domains by using the formula for the Kobayashipseudometric on $D_{1,1}$.

The Kobayashi pseudometric for the Fock-Bargmann-Hartogs domain and its application