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