A strong rigidity theorem for a certain class of compact complex analytic surfaces
type: Item
instance of: scholarly article
title: A strong rigidity theorem for a certain class of compact complex analytic surfaces
zbMATH Open document ID: 0554.32021
DOI: 10.1007/BF01455803
published in: Mathematische Annalen
publication date: 1985-01-01T00:00:00Z
full work available at URL: https://eudml.org/doc/163960
review text: This paper treats the global rigidity question for compact complex surfaces that are quotients of \(D\times D\), where D is the unit disk in the complex plane. It is shown that any other surface which is homotopically equivalent to such a quotient has to be a quotient of \(D\times D\) itself. This in particular implies strong rigidity in the irreducible case.
Mathematics Subject Classification ID: 32J15
Mathematics Subject Classification ID: 32C15
Mathematics Subject Classification ID: 55P10
zbMATH DE Number: 3882736
zbMATH Keywords: homotopy equivalence
zbMATH Keywords: rigidity
zbMATH Keywords: compact complex surfaces
author: Jürgen Jost
author: Shing-Tung Yau
MaRDI profile type: Publication
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description: scientific article; zbMATH DE number 3882736