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

A smooth curve on $G/H$ is called a Riemannian equigeodesic if it is ahomogeneous geodesic for all $G$-invariant Riemannian metrics on $G/H$. Withthe $G$-invariant Riemannian metric replaced by other classes of $G$-invariantmetrics, we can similarly define Finsler equigeodesic, Randers equigeodesic,$(\alpha,\beta)$ equigeodesic, etc. In this paper, we study Randers and$(\alpha,\beta)$ equigeodesics. For a compact homogeneous manifold, we proveRanders and $(\alpha,\beta)$ equigeodesics are equivalent, and find a criterionfor them. Using this criterion we can classify the equigeodesics on manycompact homogeneous manifolds which permit non-Riemannian homogeneous Randersmetrics, including four classes of homogeneous spheres.

Randers and $(\alpha,\beta)$ equigeodesics for some compact homogeneous manifolds