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arXiv · 1404.6148

Affine rigidity of Levi degenerate tube hypersurfaces

Alexander Isaev
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Abstract

Let C(2,1) be the class of connected 5-dimensional CR-hypersurfaces that are 2-nondegenerate and uniformly Levi degenerate of rank 1. In a recent article, we proved that the CR-structures in C(2,1) are reducible to so(3,2)-valued absolute parallelisms. In the present paper, we apply this result to study tube hypersurfaces in C^3 that belong to C(2,1) and whose CR-curvature identically vanishes. Every such hypersurface is shown to be affinely equivalent to an open subset of the tube over the future light cone.

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Alexander Isaev. 2014-04-24. Affine rigidity of Levi degenerate tube hypersurfaces. https://arxiv.org/abs/1404.6148

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