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Dynamics on Lorentz manifolds ENSET Oran, November 4-9, 2006
ENSET Oran Dynamics
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2015/10/14
This course was given at ENSET Oran, November 4-9, 2006. It is
an introduction to isometric actions of Lie groups on Lorentz manifolds.
Several examples are presented, followed by general defi...
Isometric actions of Heisenberg groups on compact Lorentz manifolds
Heisenberg groupsl Lorentz manifolds
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2015/10/14
We prove results toward classifying compact Lorentz manifolds on
which Heisenberg groups act isometrically. We give a general construction,
leading to a new example, of codimension-one actions—those...
Compact Lorentz manifolds with local symmetry
local symmetry Lorentz manifolds
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2015/10/14
We prove a structure theorem for compact aspherical Lorentz manifolds with abundant local symmetry. If M is a compact, aspherical,
real-analytic, complete Lorentz manifold such that the isometry grou...