Normal \(CR\) structures on compact 3-manifolds
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Publication:5953574
DOI10.1007/S002090100260zbMATH Open1043.32020arXivmath/0002224OpenAlexW2594526301MaRDI QIDQ5953574
Author name not available (Why is that?)
Publication date: 2001
Published in: (Search for Journal in Brave)
Abstract: We study normal CR compact manifolds in dimension 3. For a choice of a CR Reeb vector field, we associate a Sasakian metric on them, and we classify those metrics. As a consequence, the underlying manifolds are topologically finite quotiens of the 3-sphere or of a circle bundle over a Riemann surface of positive genus. In the latter case, we prove that their CR automorphisms group is a finite extension of U(1), and we classify the normal CR structures on these manifolds.
Full work available at URL: https://arxiv.org/abs/math/0002224
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