# The Beta- flatness Condition in CR Spheres Multiplicity Results

## TL;DR

This paper establishes multiplicity results for scalar curvature prescription problems on CR spheres under the Beta-flatness condition, utilizing critical point theory and topological methods to estimate solution counts.

## Contribution

It introduces new multiplicity results for CR sphere scalar curvature problems under Beta-flatness, applying Bahri's critical point at infinity techniques.

## Key findings

- Lower bounds for the number of solutions established
- Application of critical point at infinity theory to CR geometry
- Use of Poincare-Hopf type formula in the analysis

## 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.