Isometric actions of Heisenberg groups on compact Lorentz manifolds

Details Isometric actions of Heisenberg groups on compact Lorentz manifolds Isometric actions of Heisenberg groups on compact Lorentz manifolds

2005-01-15

arxiv.org/abs/math/0501235v2

Mathematics

Differential Geometry

27 pages; to appear in Geometriae Dedicata; added section 3.3 on constructing codimension-one actions from metric-defining pat

Scientific paper

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.

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