Kobayashi-Royden vs. Hahn pseudometric in ℂ²

• Autorzy: Witold Jarnicki
• Języki publikacji: EN

Abstrakty

EN

For a domain D ⊂ ℂ the Kobayashi-Royden ϰ and Hahn h pseudometrics are equal iff D is simply connected. Overholt showed that for $D ⊂ ℂ^n$, n ≥ 3, we have $h_D ≡ ϰ_D$. Let D₁, D₂ ⊂ ℂ. The aim of this paper is to show that $h_{D₁ × D₂}$ iff at least one of D₁, D₂ is simply connected or biholomorphic to ℂ \ {0}. In particular, there are domains D ⊂ ℂ² for which $h_D ≢ ϰ_D$.

Słowa kluczowe

EN

Hahn pseudometric; Kobayashi pseudometric

Kategorie tematyczne

• 32F45: Invariant metrics and pseudodistances

• Wydawca: Institute of Mathematics Polish Academy of Sciences
• Czasopismo: Annales Polonici Mathematici
• Rocznik: 2000
• Tom: 75
• Numer: 3
• Strony: 289-294

Daty

wydano

2000

otrzymano

2000-10-03

Twórcy

autor

Witold Jarnicki

• Institute of Mathematics, Jagiellonian University, Reymonta 4, 30-059 Kraków, Poland

Bibliografia

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