B. Ammann, M. Dahl, and E. Humbert, Smooth Yamabe invariant and surgery, Journal of Differential Geometry, vol.94, issue.1, pp.1-58, 2013.
URL : https://hal.archives-ouvertes.fr/hal-00271361

K. Akutagawa and A. Neves, 3-manifolds with Yamabe invariant greater than that of RP 3, Journal of Differential Geometry, vol.75, issue.3, pp.359-386, 2007.

D. Burns, K. Diederich, and S. Shnider, Distinguished curves in pseudoconvex boundaries, Duke Mathematical Journal, vol.44, p.21, 1977.

D. Burns and C. Epstein, A global invariant for three dimensional CRmanifolds. Inventiones mathematicae, vol.92, p.29, 1988.

F. A. Belgun, Normal CR structures on compact 3-manifolds, Mathematische Zeitschrift, vol.238, p.17, 2001.

L. B. Bergery, Scalar curvature and isometry group, Proceedings of the France-Japan Seminar on Spectra of Riemannian Manifolds and Space of Metrics of Manifolds, p.61, 1983.

V. Bérard, Les applications conforme-harmoniques, Canadian Journal of Mathematics, vol.65, issue.3, p.52, 2013.

R. Beals and P. Greiner, Calculus on Heisenberg manifolds, vol.119, p.51, 1988.

R. Beals, P. Greiner, and N. Stanton, The heat equation on a CR manifold, Journal of Differential Geometry, vol.20, p.51, 1984.

O. Biquard and M. Herzlich, A Burns-Epstein invariant for ACHE 4manifolds, Duke Mathematical Journal, vol.126, p.29, 2005.
URL : https://hal.archives-ouvertes.fr/hal-00762445

O. Biquard, Métriques d'Einstein asymptotiquement symétriques, Astérisque. Société Mathématique de France, vol.265, issue.3, p.26, 2000.

H. Bray and A. Neves, Classification of prime 3-manifolds with ?-invariant greater than RP 3, Annals of Mathematics, vol.159, issue.5, pp.407-424, 2004.

L. Boutet-de-monvel, Intégration des équations de Cauchy-Riemann induites formelles, Séminaire Goulaouic-Lions-Schwartz, vol.IX, issue.1, p.12, 1975.

O. Biquard and Y. Rollin, Wormholes in ACH Einstein manifolds. Transactions of the, vol.361, p.62, 2009.

J. Cheng and H. Chiu, A positive mass theorem for spherical CR manifolds of dimension 5 (temporary), p.19

J. Cheng and H. Chiu, Connected sum of spherical CR manifolds with positive CR Yamabe constant, vol.56, p.58, 2018.

S. Chanillo, H. Chiu, and P. Yang, Embeddability for 3-dimensional Cauchy-Riemann manifolds and CR Yamabe invariants, Duke Mathematical Journal, vol.161, issue.15, p.20, 2012.

S. Chanillo, H. Chiu, and P. Yang, Embedded three-dimensional CRmanifolds and the non-negativity of Paneitz operators, Geometric Analysis, Mathematical Relativity, and Nonlinear Partial Differential Equations, volume 599 of Contemporary Mathematics, p.20, 2013.

J. S. Case, S. Chanillo, and P. Yang, A remark on the kernel of the CR Paneitz operator, Nonlinear Analysis, vol.126, p.48, 2015.

T. Chong, Y. Dong, Y. Ren, and G. Yang, On harmonic and pseudoharmonic maps from pseudo-hermitian manifolds, Nagoya Mathematical Journal, p.32, 2017.

D. Calderbank, T. Diemer, and V. Sou?ek, Ricci-corrected derivatives and invariant differential operators. Differential Geometry and its Applications, vol.23, p.21, 2005.

J. Cheng and J. M. Lee, The Burns-Epstein invariant and deformation of CR structures, Duke Mathematical Journal, p.62, 1990.

S. S. Chern and J. K. Moser, Real hypersurfaces in complex manifolds, Acta Mathematica, vol.133, p.63, 1974.

J. Cheng, A. Malchiodi, and P. Yang, A positive mass theorem in three dimensional Cauchy-Riemann geometry, Advances in Mathematics, vol.308, p.51, 2017.

S. Cheng and S. Yau, On the existence of a complete Kähler metric on non-compact complex manifolds and the regularity of Fefferman's equation, Communications on Pure and Applied Mathematics, vol.33, p.25, 1980.

J. S. Case and P. Yang, A Paneitz-type operator for CR pluriharmonic functions, Bulletin of the Institute of Mathematics, vol.8, issue.3, p.52, 2013.

Z. Djadli, C. Guillarmou, and M. Herzlich, Opérateurs géométriques, invariants conformes et variétés asymptotiquement hyperboliques, vol.26, p.19, 2008.

S. Dragomir and G. Tomassini, Differential Geometry and Analysis on CR Manifolds, Progress in Mathematics. Birkhäuser, vol.246, p.15, 2006.

Y. Eliashberg, Topological characterization of Stein manifolds of dimension > 2, International Journal of Mathematics, vol.1, issue.1, pp.29-46, 1990.

C. L. Epstein, R. B. Melrose, and G. A. Mendoza, Resolvent of the Laplacian on strictly pseudoconvex domains, Acta Mathematica, vol.167, issue.3, p.29, 1991.

F. Farris, An intrinsic construction of Fefferman's CR metric, Pacific Journal of Mathematics, vol.123, issue.1, pp.33-45, 1921.

C. L. Fefferman, Monge-Ampère equations, the Bergman kernel, and geometry of pseudoconvex domains, Annals of Mathematics, vol.103, p.25, 1976.

C. Fefferman and C. R. Graham, Conformal invariants, The mathematical heritage of Élie Cartan (Lyon, 1984), volume hors-série of Astérisque, vol.2, p.24, 1985.

N. Gamara, The CR Yamabe conjecture the case n = 1, Journal of the European Mathematical Society, vol.3, p.18, 2001.

C. R. Graham and K. Hirachi, The ambient obstruction tensor and Qcurvature, AdS/CFT correspondence: Einstein metrics and their conformal boundaries, vol.8, p.24, 2005.

C. R. Graham, R. Jenne, L. J. Mason, and G. A. Sparling, Conformally invariant powers of the Laplacian, I: Existence, Journal of the London Mathematical Society, vol.46, issue.2, p.33, 1992.

M. Gromov and H. B. Lawson, The classification of simply connected manifolds of positive scalar curvature, Annals of Mathematics, vol.111, issue.6, pp.423-434, 1980.

C. R. Graham and J. M. Lee, Smooth solutions of degenerate Laplacians on strictly pseudoconvex domains, Duke Mathematical Journal, vol.57, issue.3, p.19, 1988.

M. , G. Molina, and I. Markina, Sub-Riemannian geometry on parallelizable spheres, Revista Matemática Iberoamericana, vol.27, issue.3, p.16, 2011.

C. Guillarmou and A. S. Barreto, Scattering and inverse scattering on ACH manifolds, Journal für die reine und angewandte Mathematik, vol.622, p.30, 2008.
URL : https://hal.archives-ouvertes.fr/hal-00250141

M. J. Gursky and G. Székelyhidi, A local existence result for PoincaréEinstein metrics, vol.2, p.24, 2017.

N. Gamara and R. Yacoub, CR Yamabe conjecture-the conformally flat case, Pacific Journal of Mathematics, vol.201, p.18, 2001.

M. Herzlich, A remark on renormalized volume and Euler characteristic for ACHE 4-manifolds. Differential Geometry and its Applications, vol.25, p.29, 2007.
URL : https://hal.archives-ouvertes.fr/hal-00000351

M. Herzlich, The canonical Cartan bundle and connection in CR geometry, Mathematical Proceedings of the Cambridge Philosophical Society, vol.146, p.21, 2009.
URL : https://hal.archives-ouvertes.fr/hal-00023617

D. Jerison and J. M. Lee, The Yamabe problem on CR manifolds, Journal of Differential Geometry, vol.25, p.18, 1987.

D. Jerison and J. M. Lee, Intrinsic CR normal coordinates and the CR Yamabe problem, Journal of Differential Geometry, vol.29, issue.5, p.18, 1989.

O. Kobayashi, Scalar curvature of a metric with unit volume, Mathematische Annalen, vol.279, p.62, 1920.

C. Lebrun, 4-manifolds without Einstein Metrics, Mathematical Research Letters, vol.3, issue.6, pp.133-147, 1996.

C. Lebrun, Kodaira dimension and the Yamabe Problem, Communications In Analysis And Geometry, vol.7, p.64, 1999.

J. M. Lee, The Fefferman metric and pseudohermitian invariants, vol.296, p.21, 1986.

J. M. Lee, Pseudo-Einstein structures on CR manifolds, American Journal of Mathematics, vol.110, p.14, 1988.

J. Lee and R. Melrose, Boundary behaviour of the complex Monge-Ampère equation, Acta Mathematica, vol.148, p.24, 1982.

J. M. Lee and T. H. Parker, The Yamabe Problem, Bulletin of the American Mathematical Society, vol.17, issue.1, pp.37-91, 1987.

T. Marugame, Renormalized Chern-Gauss-Bonnet formula for complete Kähler-Einstein metrics, American Journal of Mathematics, p.29, 2015.

T. Marugame, Self-dual Einstein ACH metric and CR GJMS operators in dimension three, p.32, 2018.

Y. Matsumoto, Asymptotics of ACH-Einstein metrics, Journal of Geometric Analysis, vol.24, issue.3, p.27, 2014.

T. K. Milnor, Harmonically immersed surfaces, Journal of Differential Geometry, vol.14, p.32, 1979.

R. Montgomery, A tour of subriemannian geometries, their geodesics and applications, Mathematical Surveys and Monographs, vol.91, p.52, 2002.

S. Paneitz, A quartic conformally covariant differential operator for arbitrary pseudo-Riemannian manifolds, Symmetry, Integrability and Geometry: Methods and Applications, vol.4, p.19, 2008.

J. Petean, Computations of the Yamabe invariant, Mathematical Research Letters, vol.5, issue.6, pp.703-709, 1998.

H. Poincaré, Les fonctions analytiques de deux variables et la représentation conforme. Rendiconti del Circolo Matematico di Palermo, vol.23, p.11, 1907.

J. Petean and G. Yun, Surgery and the Yamabe invariant, Geometric and Functional Analysis, vol.9, pp.1189-1199, 1999.

H. Rossi, Attaching analytic spaces to an analytic space along a pseudoconcave boundary, Proceedings of the Conference on Complex Analysis, vol.10, p.12, 1964.

R. Schoen, Conformal deformation of a Riemannian metric to constant scalar curvature, Journal of Differential Geometry, vol.20, issue.4, pp.479-495, 1984.

R. Schoen, Variational theory for the total scalar curvature functional for Riemannian metrics and related topics, Topics in Calculus of Variations, vol.5, p.20, 1989.

Y. Shi and W. Wang, On conformal qc geometry, spherical qc manifolds and convex cocompact subgroups of Sp(n + 1, 1), vol.49, p.58, 2016.

N. Tanaka, A differential geometric study on strongly pseudo-convex manifolds, Lectures in Mathematics, Department of Mathematics, vol.9, p.13, 1975.

W. Wang, Canonical contact forms on spherical CR manifolds, Journal of the European Mathematical Society, vol.5, p.58, 1920.

X. Wang, On a remarkable formula of Jerison and Lee in CR geometry, Mathematical Research Letters, vol.22, issue.1, p.18, 2015.

S. Webster, Pseudo-hermitian structures on a real hypersurface, Journal of Differential Geometry, vol.13, issue.1, p.13, 1978.

C. Wu, Evolution of CR Yamabe constant under the Cartan flow on a CR 3-manifold, Taiwanese Journal of Mathematics, vol.13, p.20, 2009.