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References
J.M. Bony, Principe du maximum, inégalité de Harnack, et unicité du problème de Cauchy pour les opérateurs elliptiques dégénerés. Ann. Inst. Fourier 19(1969), 277–304.
A. Douady, Noeuds et structures de contact en dimension 3, d’après Daniel Bennequin, Séminaire Bourbaki, 1982/83, no.o 604.
G.B. Folland and E.M. Stein, Estimates for the ∂b-complex and analysis on the Heisenberg group, Comm. Pure and App. Math 27(1974), 429–522.
J.W. Gray, Some global properties of contact structures, Annals of Math 69(1959), 421–450.
R. Hamilton, The inverse function theorem of Nash and Moser, Bull. Amer. Math. Soc. 7(1982), 65–222.
R. Hamilton, Three-manifolds with positive Ricci curvature, J. Diff. Geom. 17(1982), 255–306.
D. Jerison and J. Lee, A subelliptic, non-linear eigenvalue problem and scalar curvature on CR manifolds, Microlocal Analysis, Amer. Math. Soc. Contemporary Math Series, 27(1984), 57–63.
J. Martinet, Formes de contact sur les variétés de dimension 3, Proc. Liverpool Singularities Symp II, Springer Lecture Notes in Math 209(1971), 142–163.
R. Schoen, Conformal deformation of a Riemannian metric to constant scalar curvature, preprint 1984.
W. Thurston and H.E. Winkelnkemper, On the existence of contact forms. Proc. Amer. Math. Soc. 52(1975), 345–347.
S.M. Webster, Pseudohermitian structures on a real hypersurface, J. Diff. Geom. 13(1978), 25–41.
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Chern, S.S., Hamilton, R.S. (1985). On riemannian metrics adapted to three-dimensional contact manifolds. In: Hirzebruch, F., Schwermer, J., Suter, S. (eds) Arbeitstagung Bonn 1984. Lecture Notes in Mathematics, vol 1111. Springer, Berlin, Heidelberg. https://doi.org/10.1007/BFb0084596
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DOI: https://doi.org/10.1007/BFb0084596
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