Isometric actions of Heisenberg groups on compact Lorentz manifolds

Karin Melnick

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Isometric actions of Heisenberg groups on compact Lorentz manifolds

Karin Melnick

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Abstract

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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BibTeX RIS

Karin Melnick. 2005-10-03. Isometric actions of Heisenberg groups on compact Lorentz manifolds. https://arxiv.org/abs/math/0501235

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