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The Caratheodory Metric and its Majorant Metrics

The Caratheodory Metric and its Majorant Metrics

One of the main purposes of the present paper is to provide a proof for the following statement: Theorem A. Let M be a complex manifold of a complex dimension n. Let be a fixed point in M such that there exists a square integrable holomorphic n-form a(z) on M …