Isometric Actions of Heisenberg Groups on Compact Lorentz Manifolds |
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Authors: | Karin Melnick |
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Institution: | (1) Department of Mathematics, University of Chicago, Chicago, IL, U.S.A |
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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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Keywords: | Lorentz manifold Heisenberg group |
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