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The chains of left-invariant CR structures on the 3-dimensional Lie groups

Published 31 Mar 2023 in math.CV and math.DG | (2303.17854v1)

Abstract: Let G be a 3-dimensional connected Lie group with a left-invariant nondegenerate CR structure. We show that all the chains on G are closed if and only if G is CR equivalent to one of the left-invariant spherical CR structures on SU(2), SO(3) and a quotient group of the Heisenberg group.

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