Intrinsic Distances for Domains
Let X be a complex space. We denote its Carathéodory pseudo-distance by c x , (see (3.1.1)), and the induced inner pseudo-distance by c i x , (see (1.1.2)). While the Kobayashi pseudo-distance d x is always inner (see (3.1.15)), the Carathéodory pseudo-distance c x need not be (see Examples (3.1.25), (3.1.26), (3.1.27) and (3.1.28).
KeywordsHolomorphic Function Complex Space Complex Manifold Pseudoconvex Domain Plurisubharmonic Function
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