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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
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...
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...
Hyperboloid preservation implies the Lorentz and Poincaré groups without dilations
mass shell momentum space velocity hyperboloid proper time velocity Lorentz transformation Poincar´ e transformation
2010/12/9
An analogue of the Alexandrov-Zeeman theorem, based on hyperboloid preservation, as opposed to light cone preservation, is provided. This char-acterizes exactly the Poincar´e group, as opposed t...