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Isometric embedding of semi-Riemannian metrics into Minkowski space
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Matthias Bergner
and Lars Schäfer
Published/Copyright:
November 28, 2011
Abstract
Given a two-dimensional semi-Riemannian metric with positive Gaussian curvature, we construct local isometric embeddings into Minkowski space ℝ2,1. Using reasonable geometric initial conditions, we control the number of solutions and deduce symmetry properties of the solutions.
Published Online: 2011-11-28
Published in Print: 2011-11
© by Oldenbourg Wissenschaftsverlag, Hannover, Germany
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Articles in the same Issue
- The “Wrong Minimal Surface Equation” does not have the Bernstein property
- Two optimal families of iterative methods for solving nonlinear equations
- Isometric embedding of semi-Riemannian metrics into Minkowski space
- Entire functions sharing one value with linear differential polynomials
- Meromorphic functions that share one small function with their k-th derivative
- Approximation schemes for solving disturbed control problems with non-terminal time and state constraints
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