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

Let $M$ be a cohomogeneity one manifold of a compact semisimple Lie group $G$with one singular orbit $S_0 = G/H$. Then $M$ is $G$- diffeomorphic to thetotal space $G \times_H V$ of the homogeneous vector bundle over $S_0$ definedby a sphere transitive representation of $G$ in a vector space $V$. We describeall such manifolds $M$ which admit an invariant Kahler structure of standardtype. This means that the restriction $\mu: S = Gx = G/L \rightarrow F = G/K$of the moment map of $M$ to a regular orbit $S = G/L$ is a holomorphic map of$S$ with the induced CR structure onto a flag manifold $F = G/K$, where $K =N_G(L)$, endowed with an invariant complex structure $J^F$ . We describe allsuch standard Kahler cohomogeneity one manifolds in terms of the paintedDynkin diagram associated with $(F=G/K; J^F)$ and a parametrized interval insome T-Weyl chamber. We determine which of these manifolds admit invariantKahler-Einstein metrics.

Cohomogeneity one Kahler and Kahler-Einstein manifolds with one singular orbit, I

Cohomogeneity one Kahler and Kahler-Einstein manifolds with one singular orbit, I