Complex analytic curves and maximal surfaces
type: Item
instance of: scholarly article
title: Complex analytic curves and maximal surfaces
zbMATH Open document ID: 0712.53026
DOI: 10.1007/BF01501129
author: Kinetsu Abe
author: M. Magid
published in: Monatshefte für Mathematik
publication date: 1989-01-01T00:00:00Z
full work available at URL: https://eudml.org/doc/178448
review text: Maximal immersions of a surface \(M^ 2\) into the n-dimensional Lorentz space which are isometric to a fixed holomorphic mapping of \(M^ 2\) into the complex Lorentz space are determined. The main tool is an adaptation of Calabi's rigidity theorem. Such an adaptation is necessary because of the existence of degenerate hyperplanes in complex Lorentz space.
reviewed by: M. Magid
Mathematics Subject Classification ID: 53C42
Mathematics Subject Classification ID: 53C50
zbMATH DE Number: 4171882
zbMATH Keywords: Maximal immersions
zbMATH Keywords: Calabi's rigidity theorem
zbMATH Keywords: complex Lorentz space
MaRDI profile type: Publication
cites work: Isometric imbedding of complex manifolds
description: scientific article; zbMATH DE number 4171882