On the HJY Gap Conjecture in CR geometry vs. the SOS Conjecture for polynomials
Complex Variables
2015-08-19 v1
Abstract
We show that the Huang-Ji-Yin (HJY) Gap Conjecture concerning CR mappings between spheres follows from a conjecture regarding Sums of Squares (SOS) of polynomials. The connection between the two problems is made by the CR Gauss equation and the fact that the former conjecture follows from the latter follows from a recent result, due to the author, on partial rigidity of CR mappings of strictly pseudoconvex hypersurfaces into spheres.
Keywords
Cite
@article{arxiv.1508.04205,
title = {On the HJY Gap Conjecture in CR geometry vs. the SOS Conjecture for polynomials},
author = {Peter Ebenfelt},
journal= {arXiv preprint arXiv:1508.04205},
year = {2015}
}