Equivalences of 5-dimensional CR-manifolds IV: Six ambiguity matrix groups (Initial G-structures)

2013/12/04 by Merker, Joel
#Complex Variables (math.CV) #Differential Geometry (math.DG) #FOS: Mathematics

paper · doi:10.48550/arxiv.1312.1084

Abstract

Class I CR manifolds have initial G-structure a certain 4-dimensional subgroup of GL₃(C). Class II CR manifolds have initial G-structure a certain 10-dimensional subgroup of GL₄(C). Class III-1 CR manifolds have initial G-structure a certain 10-dimensional subgroup of GL₅(C). Class III-2 CR manifolds have initial G-structure a certain 18-dimensional subgroup of GL₅(C). Class IV-1 CR manifolds have initial G-structure a certain 13-dimensional subgroup of GL₅(C). Class IV-2 CR manifolds have initial G-structure a certain 10-dimensional subgroup of GL₅(C).

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