Existence of close pseudoholomorphic disks for almost complex manifolds and their application to the Kobayashi-Royden pseudonorm
type: Item
instance of: scholarly article
title: Existence of close pseudoholomorphic disks for almost complex manifolds and their application to the Kobayashi-Royden pseudonorm
zbMATH Open document ID: 0967.32024
DOI: 10.1007/BF02465141
publication date: 2001-08-26T00:00:00Z
review text: Let we have a pseudoholomorphic disk of radius \(R\) and an almost complex manifold. It pass through a fixed point and tangent to a given vector \(v\) at this point. For any \(\varepsilon\) there is a neighborhood \(U\) of the vector \(v\) such that we can find a pseudoholomorphic disk of radius \(R - \varepsilon\) going through the same point and tangent to a vector from \(U\). This result has several interesting applications, particularly, the author's coincidence of the pseudo-distance defined by the Kobayashi-Royden pseudonorm with the Kobayashi pseudodistance.
Mathematics Subject Classification ID: 32Q60
Mathematics Subject Classification ID: 32F45
zbMATH DE Number: 1407612
zbMATH Keywords: pseudoholomorphic disk
zbMATH Keywords: almost complex manifold
zbMATH Keywords: Kobayashi-Royden pseudonorm
zbMATH Keywords: Kobayashi pseudodistance
author: Boris Kruglikov
reviewed by: A. N. Parshin
MaRDI profile type: Publication
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full work available at URL: https://doi.org/10.1007/bf02465141
OpenAlex ID: W2064965265
published in: Functional Analysis and Its Applications
description: scientific article; zbMATH DE number 1407612