Complete Einstein-Kähler Metric and Holomorphic Sectional Curvature on $Y_{II}(r,p;K)$

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dc.creatorYin, Weiping
dc.creatorZhang, Liyou
dc.date2005-12-09
dc.date.accessioned2026-07-07T06:54:59Z
dc.date.available2026-07-07T06:54:59Z
dc.descriptionThe explicit complete Einstein-Kähler metric on the second type Cartan-Hartogs domain $Y_{II}(r,p;K)$ is obtained in this paper when the parameter $K$ equals $\frac p2+\frac 1{p+1}$. The estimate of holomorphic sectional curvature under this metric is also given which intervenes between $-2K$ and $-\frac{2K}p$ and it is a sharp estimate. In the meantime we also prove that the complete Einstein-Kähler metric is equivalent to the Bergman metric on $Y_{II}(r,p;K)$ when $K=\frac p2+\frac 1{p+1}$.
dc.description12 pages
dc.identifierhttps://arxiv.org/abs/math/0512183
dc.identifierhttp://arxiv.org/abs/math/0512183
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/106139
dc.subjectComplex Variables
dc.subject32H15;32F15;32F07
dc.titleComplete Einstein-Kähler Metric and Holomorphic Sectional Curvature on $Y_{II}(r,p;K)$
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