The fractional CR curvature equation on the three-dimensional CR sphere
Mathematics Research Reports, Volume 1 (2020), pp. 47-54.

In this paper, we address the problem of prescribed fractional $Q$-curvature on a $3$-dimensional sphere endowed with its standard CR structure. Since the associated variational problem is noncompact, we approach this issue using techniques of Bahri as the theory of critical points at infinity, using topological tools from generalizations of Morse theory. We prove some perturbative existence results.

Accepted:
Published online:
DOI: 10.5802/mrr.2
Classification: 57R58,  58E05
Keywords: Critical point at infinity, Floer-Milnor homology, Intersection number, Morse index, Fractional Q-curvature.
Ridha Yacoub 1

1 Department of Mathematics and Computer Sciences, I.P. E.I.M., Avenue Ibn Al Jazzar, 5000 Monastir, Tunisia.
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Ridha Yacoub. The fractional CR curvature equation on the three-dimensional CR sphere. Mathematics Research Reports, Volume 1 (2020), pp. 47-54. doi : 10.5802/mrr.2. https://mrr.centre-mersenne.org/articles/10.5802/mrr.2/

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