On the HJY Gap Conjecture in CR geometry vs. the SOS Conjecture for polynomials

被引：6
作者：
Ebenfelt, Peter [1 ]
机构：
[1] Univ Calif San Diego, Dept Math, La Jolla, CA 92093 USA
来源：
ANALYSIS AND GEOMETRY IN SEVERAL COMPLEX VARIABLES | 2017年 / 681卷
关键词：
PROPER HOLOMORPHIC MAPS; B-N; HERMITIAN-FORMS; MAPPINGS; RIGIDITY; HYPERQUADRICS; SPHERES; BALLS; HYPERSURFACES; CODIMENSION;
D O I：
10.1090/conm/681/13688
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
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.
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收藏
页码：125 / 135
页数：11
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