Abstract
Abstract In this paper, the holomorphic sectional curvature under invariant metric on a Cartan-Hartogs domain of the second type YII(N, p,K) is presented and an invariant Kalher 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. Hencea comparison theorem for the Bergman and Kobayashi metrics on YII(N, p, K) is obtained.
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