Normal CR structures on compact 3-manifolds

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dc.creatorBelgun, F. A.
dc.date2000-02-26
dc.date.accessioned2026-07-07T04:34:05Z
dc.date.available2026-07-07T04:34:05Z
dc.descriptionWe 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.
dc.description16 pages
dc.identifierhttps://arxiv.org/abs/math/0002224
dc.identifierhttp://arxiv.org/abs/math/0002224
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/58768
dc.subjectDifferential Geometry
dc.subject32V05, 53C25 (primary) 53C55, 51H20 (Secondary)
dc.titleNormal CR structures on compact 3-manifolds
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