Isometric actions of Heisenberg groups on compact Lorentz manifolds
微分几何
2007-05-23 v2
摘要
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 for which the dimension of the Heisenberg group is one less than the dimension of the manifold. The main result is a classification of codimension-one actions, under the assumption they are real-analytic.
引用
@article{arxiv.math/0501235,
title = {Isometric actions of Heisenberg groups on compact Lorentz manifolds},
author = {Karin Melnick},
journal= {arXiv preprint arXiv:math/0501235},
year = {2007}
}
备注
27 pages; to appear in Geometriae Dedicata; added section 3.3 on constructing codimension-one actions from metric-defining paths; classification now phrased in terms of these