Affine rigidity of Levi degenerate tube hypersurfaces
Complex Variables
2014-04-25 v1
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.
Keywords
Cite
@article{arxiv.1404.6148,
title = {Affine rigidity of Levi degenerate tube hypersurfaces},
author = {Alexander Isaev},
journal= {arXiv preprint arXiv:1404.6148},
year = {2014}
}
Comments
arXiv admin note: text overlap with arXiv:1210.2428