Equivalences of 5-dimensional CR-manifolds IV: Six ambiguity matrix groups (Initial G-structures)
Complex Variables
2013-12-05 v1 Differential Geometry
Abstract
Class I CR manifolds have initial G-structure a certain 4-dimensional subgroup of GL_3(C). Class II CR manifolds have initial G-structure a certain 10-dimensional subgroup of GL_4(C). Class III-1 CR manifolds have initial G-structure a certain 10-dimensional subgroup of GL_5(C). Class III-2 CR manifolds have initial G-structure a certain 18-dimensional subgroup of GL_5(C). Class IV-1 CR manifolds have initial G-structure a certain 13-dimensional subgroup of GL_5(C). Class IV-2 CR manifolds have initial G-structure a certain 10-dimensional subgroup of GL_5(C).
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Cite
@article{arxiv.1312.1084,
title = {Equivalences of 5-dimensional CR-manifolds IV: Six ambiguity matrix groups (Initial G-structures)},
author = {Joel Merker},
journal= {arXiv preprint arXiv:1312.1084},
year = {2013}
}
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34 pages