TY - JOUR
T1 - Reduction of five-dimensional uniformly levi degenerate CR structures to absolute parallelisms
AU - Isaev, Alexander
AU - Zaitsev, Dmitri
PY - 2013/7
Y1 - 2013/7
N2 - Let C2,1 be the class of connected 5-dimensional CR-hypersurfaces that are 2-nondegenerate and uniformly Levi degenerate of rank 1. We show that the CR-structures in C2,1 are reducible to so (3,2)-valued absolute parallelisms and give applications of this fact. Our result is the first instance of reduction to absolute parallelisms for Levi degenerate CR-structures.
AB - Let C2,1 be the class of connected 5-dimensional CR-hypersurfaces that are 2-nondegenerate and uniformly Levi degenerate of rank 1. We show that the CR-structures in C2,1 are reducible to so (3,2)-valued absolute parallelisms and give applications of this fact. Our result is the first instance of reduction to absolute parallelisms for Levi degenerate CR-structures.
KW - 2-Nondegenerate uniformly Levi degenerate CR-structures
KW - Reduction of G-structures to absolute parallelisms
UR - http://www.scopus.com/inward/record.url?scp=84880701625&partnerID=8YFLogxK
U2 - 10.1007/s12220-013-9419-4
DO - 10.1007/s12220-013-9419-4
M3 - Article
SN - 1050-6926
VL - 23
SP - 1571
EP - 1605
JO - Journal of Geometric Analysis
JF - Journal of Geometric Analysis
IS - 3
ER -