A geometric Cauchy problem for timelike minimal surfaces
type: Item
instance of: scholarly article
title: A geometric Cauchy problem for timelike minimal surfaces
zbMATH Open document ID: 0830.53049
DOI: 10.1007/BF02108303
published in: Annals of Global Analysis and Geometry
publication date: 1996-01-28T00:00:00Z
review text: After showing that an orientable two-dimensional timelike surface \(\Sigma\) immersed in a Lorentz manifold \((X,g)\) and possessing two spacelike boundaries is of topological type \([0,1] \times S^1\), the paper treats the initial value problem for the relativistic string in a purely geometric manner. Local existence and uniqueness of \(\Sigma\) are proved. Global existence is obtained for special types of \((X,g)\), but a counterexample is also provided.
reviewed by: Helmut Rumpf
Mathematics Subject Classification ID: 53C42
Mathematics Subject Classification ID: 81T30
Mathematics Subject Classification ID: 53C50
Mathematics Subject Classification ID: 35L70
Mathematics Subject Classification ID: 83E30
Mathematics Subject Classification ID: 58J47
zbMATH DE Number: 762876
zbMATH Keywords: string theory
zbMATH Keywords: geometric Cauchy problem
zbMATH Keywords: timelike minimal surfaces
author: Thomas Deck
MaRDI profile type: Publication
cites work: Q3280274
cites work: Virasoro-type algebras, Riemann surfaces and strings in Minkowski space
description: scientific article; zbMATH DE number 762876