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arXiv · 1706.05346

Non locally trivializable $CR$ line bundles over compact Lorentzian $CR$ manifolds

Judith Brinkschulte·C. Denson Hill
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Abstract

We consider compact $CR$ manifolds of arbitrary $CR$ codimension that satisfy certain geometric conditions in terms of their Levi form. Over these compact $CR$ manifolds, we construct a deformation of the trivial $CR$ line bundle over $M$ which is topologically trivial over $M$ but fails to be even locally $CR$ trivializable over any open subset of $M$. In particular, our results apply to compact Lorentzian $CR$ manifolds of hypersurface type.

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Judith Brinkschulte, C. Denson Hill. 2017-06-16. Non locally trivializable $CR$ line bundles over compact Lorentzian $CR$ manifolds. https://arxiv.org/abs/1706.05346

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