Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
1898895 | Journal of Geometry and Physics | 2008 | 7 Pages |
Abstract
We show that every left-invariant Lorentz metric on a non-abelian simply connected Lie group is globally hyperbolic whenever its restriction to the commutator ideal of the Lie algebra is positive definite. We also show that a left-invariant Lorentz metric on the three-dimensional Heisenberg group is globally hyperbolic if and only if its restriction to the center of the Lie algebra is positive definite or degenerate.
Keywords
Related Topics
Physical Sciences and Engineering
Mathematics
Mathematical Physics
Authors
Mohammed Guediri,