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About: Kobayashi metric     Goto   Sponge   NotDistinct   Permalink

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Type: Thingyago:WikicatComplexManifoldsyago:Artifact100021939yago:Conduit103089014yago:Manifold103717750yago:Object100002684yago:Passage103895293yago:PhysicalEntity100001930yago:Pipe103944672yago:YagoGeoEntityyago:YagoPermanentlyLocatedEntityyago:Tube104493505yago:Way104564698yago:Whole100003553 New Facet based on Instances of this Class

In mathematics and especially complex geometry, the Kobayashi metric is a pseudometric intrinsically associated to any complex manifold. It was introduced by Shoshichi Kobayashi in 1967. Kobayashi hyperbolic manifolds are an important class of complex manifolds, defined by the property that the Kobayashi pseudometric is a metric. Kobayashi hyperbolicity of a complex manifold X implies that every holomorphic map from the complex line C to X is constant.