On the Kobayashi-Royden metric for ellipsoids
type: Item
instance of: scholarly article
title: On the Kobayashi-Royden metric for ellipsoids
zbMATH Open document ID: 0699.32012
DOI: 10.1007/BF01446557
published in: Mathematische Annalen
publication date: 1991-01-01T00:00:00Z
full work available at URL: https://eudml.org/doc/164766
review text: Let \({\mathcal E}\) be an ellipsoid in \({\mathbb{C}}^ n\), symmetric about 0. If the Kobayashi indicatrix of \({\mathcal E}\) at 0 is biholomorphic to the unit ball of \({\mathbb{C}}^ n\), then so is \({\mathcal E}\). Equivalently: If the infinitesimal Kobayashi-Royden metric of \({\mathcal E}\) at 0 is Hermitian, then \({\mathcal E}\) is biholomorphic to the ball.
Mathematics Subject Classification ID: 32F45
zbMATH DE Number: 4146395
zbMATH Keywords: ellipsoid
zbMATH Keywords: Kobayashi indicatrix
zbMATH Keywords: biholomorphic to the unit ball
zbMATH Keywords: Kobayashi-Royden metric
author: Leslie Kay
MaRDI profile type: Publication
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description: scientific article; zbMATH DE number 4146395