Automorphism groups of normal CR 3-manifolds

2001/03/23 by Florin Belgun, Florin Alexandru Belgun, Belgun, Florin Alexandru
Mathematics · #Advanced Operator Algebra Research #Geometric and Algebraic Topology #Holomorphic and Operator Theory #math.DG #msc:53A40 #msc:53C25 #msc:53D10

paper · pdf · doi:10.48550/arxiv.math/0103142

Latex2.09, 23 pages, corrected footnotes and references, revised acknowledgements

arxiv created 2001/04/09 · arxiv updated 2009/11/30

Abstract

We classify the normal CR structures on S³ and their automorphism groups. Together with [3], this closes the classification of normal CR structures on contact 3-manifolds. We give a criterion to compare 2 normal CR structures, and we show that the underlying contact structure is, up to homotopy, unique.

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