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arxiv: 1305.5391 · v2 · pith:2JARR2URnew · submitted 2013-05-23 · 🧮 math.DG · math.CV· math.SG

The torsion flow on a closed pseudohermitian 3-manifold

classification 🧮 math.DG math.CVmath.SG
keywords flowtorsionanalogueapplicationbehaviorbreathersclassifyclosed
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In this paper we define the torsion flow, a CR analogue of the Ricci flow. For homogeneous CR manifolds we give explicit solutions to the torsion flow illustrating various kinds of behavior. We also derive monotonicity formulas for CR entropy functionals. As an application, we classify torsion breathers.

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