Explicit description of spherical rigid hypersurfaces in C^2
Complex Variables
2017-08-01 v2 Differential Geometry
Abstract
We provide an explicit description of all rigid hypersurfaces that are equivalent to a Heisenberg sphere. These hypersurfaces are determined by 4 real parameters. The defining equations of the rigid spheres can also be viewed as the complete solution of a non-linear PDE that expresses the vanishing Cartan curvature condition for rigid hypersurfaces.
Keywords
Cite
@article{arxiv.1305.4785,
title = {Explicit description of spherical rigid hypersurfaces in C^2},
author = {Vladimir Ezhov and Gerd Schmalz},
journal= {arXiv preprint arXiv:1305.4785},
year = {2017}
}