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arxiv: 1812.09614 · v1 · pith:RANBJX5Nnew · submitted 2018-12-22 · 🧮 math.DG

The Beta- flatness Condition in CR Spheres Multiplicity Results

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keywords conditiongivemultiplicityresultsspheresbahribeta-beta-flatness
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We give multiplicity results for the problem of prescribing the scalar curvature on Cauchy- Riemann spheres under Beta-flatness condition. To give a lower bound for the number of solutions, we use Bahri methods based on the theory of critical points at infinity and a Poincare-Hopf type formula.

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