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The Beta- flatness Condition in CR Spheres Multiplicity Results

Differential Geometry 2018-12-27 v1

Abstract

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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Cite

@article{arxiv.1812.09614,
  title  = {The Beta- flatness Condition in CR Spheres Multiplicity Results},
  author = {Najoua Gamara and Boutheina Hafassa and Akrem Makni},
  journal= {arXiv preprint arXiv:1812.09614},
  year   = {2018}
}

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18 pages