In this paper, the holomorphic sectional curvature under invariant metric on a Cartan-Hartogs domain of the second type Y II (N,p,K) is presented and an invariant Klher metric which is complete and not less than the Bergman metric is constructed, such that its holomorphic sectional curvature is bounded above by a negative constant. Hence a comparison theorem for the Bergman and Kobayashi metrics on Y II (N,p,K) is obtained.
机构:
Leshan Normal Univ, Sch Math & Informat Sci, Leshan 614000, Sichuan, Peoples R ChinaLeshan Normal Univ, Sch Math & Informat Sci, Leshan 614000, Sichuan, Peoples R China
Feng, Zhiming
Tu, Zhenhan
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机构:
Wuhan Univ, Sch Math & Stat, Wuhan 430072, Hubei, Peoples R ChinaLeshan Normal Univ, Sch Math & Informat Sci, Leshan 614000, Sichuan, Peoples R China