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Isometric embedding of semi-Riemannian metrics into Minkowski space

  • Matthias Bergner and Lars Schäfer
Published/Copyright: November 28, 2011
Analysis
From the journal Volume 31 Issue 4

Abstract

Given a two-dimensional semi-Riemannian metric with positive Gaussian curvature, we construct local isometric embeddings into Minkowski space 2,1. Using reasonable geometric initial conditions, we control the number of solutions and deduce symmetry properties of the solutions.


* Correspondence address: Leibniz Universität Hannover, Institut für Differentialgeometrie, Welfengarten 1, 30167 Hannover,

Published Online: 2011-11-28
Published in Print: 2011-11

© by Oldenbourg Wissenschaftsverlag, Hannover, Germany

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