In this paper we construct circumscribed Hermitian ellipsoids of Hartogs domains of least volume and as an application, we obtain the Carathéodory extremal mappings between the Hartogs domains and the unit ball, ...In this paper we construct circumscribed Hermitian ellipsoids of Hartogs domains of least volume and as an application, we obtain the Carathéodory extremal mappings between the Hartogs domains and the unit ball, and also give an explicit formula for calculating the extremal values.展开更多
In this paper we show that the Kobayashi-Royden metric and the Sibony metric are different on ring domains,i.e.,the difference of two concentric balls,in higher dimension.
Two alternate arguments in the framework of intrinsic metrics and measures respectively of part of the proof of a famous theorem due to Qi-Keng Lu on Bergman metric with constant negative holomorphic sectional curvatu...Two alternate arguments in the framework of intrinsic metrics and measures respectively of part of the proof of a famous theorem due to Qi-Keng Lu on Bergman metric with constant negative holomorphic sectional curvature are presented.A relationship between the Lu constant and the holo- morphic sectional curvature of the Bergman metric is given.Some recent progress of the Yau’s porblem on the characterization of domain of holomorphy on which the Bergman metric is K(?)hler-Einstein is described.展开更多
基金supported by National Natural Science Foundation of China (Grant No. 10771144)the BeijingNatural Science Foundation (Grant No. 1082005)the Korea Research Foundation Grant Funded by KoreaGovernment (MOEHRD, Basic Research Promotion Fund) (Grant No. KRF-2005-070-C00007)
文摘In this paper we construct circumscribed Hermitian ellipsoids of Hartogs domains of least volume and as an application, we obtain the Carathéodory extremal mappings between the Hartogs domains and the unit ball, and also give an explicit formula for calculating the extremal values.
基金supported by National Science Foundation (Grant No. DMS 0705027)
文摘In this paper we show that the Kobayashi-Royden metric and the Sibony metric are different on ring domains,i.e.,the difference of two concentric balls,in higher dimension.
基金This work was partially supported by Research Grants Council of the Hong Kong SAR,China(Grant No.HKUT017/05P)
文摘Two alternate arguments in the framework of intrinsic metrics and measures respectively of part of the proof of a famous theorem due to Qi-Keng Lu on Bergman metric with constant negative holomorphic sectional curvature are presented.A relationship between the Lu constant and the holo- morphic sectional curvature of the Bergman metric is given.Some recent progress of the Yau’s porblem on the characterization of domain of holomorphy on which the Bergman metric is K(?)hler-Einstein is described.
