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Isometric immersions into a homogeneous Lorentzian Heisenberg group and rigidity
Published online by Cambridge University Press: 01 July 2009
Abstract
In this paper we prove an existence result for local and global isometric immersions of semi-Riemannian surfaces into the three dimensional Heisenberg group endowed with a homogeneous left–invariant Lorentzian metric. As a corollary, we prove a rigidity result for such immersions.
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- Research Article
- Information
- Mathematical Proceedings of the Cambridge Philosophical Society , Volume 147 , Issue 1 , July 2009 , pp. 185 - 204
- Copyright
- Copyright © Cambridge Philosophical Society 2009
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