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On the Regularity of the $s$-Differential Metric

  Published:2005-12-01
 Printed: Dec 2005
  • Javad Mashreghi
  • Mohamad R. Pouryayevali
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Abstract

We show that the injective Kobayashi--Royden differential metric, as defined by Hahn, is upper semicontinous.
Keywords: Invariant metric, Kobayashi--Royden metric, Hahn metric, $s$-metric Invariant metric, Kobayashi--Royden metric, Hahn metric, $s$-metric
MSC Classifications: 32F45, 32Q45 show english descriptions Invariant metrics and pseudodistances
Hyperbolic and Kobayashi hyperbolic manifolds
32F45 - Invariant metrics and pseudodistances
32Q45 - Hyperbolic and Kobayashi hyperbolic manifolds
 

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