Books, Proceedings and Seminars of Centre Mersenne

[1] Aubin, Métriques riemanniennes et courbure, J. Differential Geometry 4 (1970), 383–424. | MR | Zbl

[2] T. Aubin, Équations différentilles non linéaires et probléme de Yamabe concernant la courbure scalaire, J. Math. Pures Appl. 55 (1976), 269-296. | MR | Zbl

[3] S. Brendle and J. Viaclovsky, A variational characterization for ${\sigma }_{n/2}$, Calc. Var. P. D. E. 20 (2004), 399–402. | MR | Zbl

[4] G. Catino and Z. Djadli, Integral pinched 3-manifolds are space forms, ArXiv : math.DG/07070338.

[5] A. Chang, M. Gursky and P. Yang, An equation of Monge-ampère type in conformal geometry, and four manifolds of positive Ricci curvature, Ann. of Math.,155 (2002), 709-787. | MR | Zbl

[6] A. Chang, Gursky and P. Yang, An a priori estimates for a fully nonlinear equation on Four-manifolds, J. D’Analysis Math., 87 (2002), 151–186. | Zbl

[7] A. Chang, Gursky and P. Yang, Entire solutions of a fully nonlinear equation, Lectures on partial differential equations, 43–60, New Stud. Adv. Math., 2, Int. Press, Somerville, MA, 2003. | MR

[8] A. Chang, Gursky and P. Yang, A conformally invariant sphere theorem in four dimensions, Publ. Math. Inst. Hautes Études Sci. 98 (2003), 105–143. | EuDML | Numdam | Zbl

[9] S. Chen, Local estimates for some fully nonlinear elliptic equations, Int. Math. Res. Not. 2005 (2005), 3403–3425. | MR

[10] A. Futaki, Scalar-flat closed manifolds not admitting positive scalar curvature metrics, Invent. Math., 112 (1993), 23–29. | MR | Zbl

[11] Z. Gao and S.T. Yau, The existence of negatively Ricci curved metrics on three-manifolds., Invent. Math. , 85 (1986), 637–652. | MR | Zbl

[12] Y. Ge, C.S.Lin and G. Wang, On the ${\sigma }_2$-scalar curvature, prépublication.

[13] Y. Ge and G. Wang, On a fully nonlinear Yamabe problem, Ann. Sci. École Norm. Sup., 39 (2006) 569–598. | Numdam | MR | Zbl

[14] Y. Ge and G. Wang, On a quotient conformal equation, to appear in Int. Math. Res. Not..

[15] Y. Ge and G. Wang, en préparation.

[16] M. Gromov and H. B. Lawson, The classification of simply connected manifolds of positive scalar curvature, Ann. of Math. (2) 111 (1980), 423–434. | MR | Zbl

[17] P. Guan, Topics in Geometric Fully Nonlinear Equations, Lecture Notes, http ://www.math.mcgill.ca/guan/notes.html

[18] P. Guan, C.-S. Lin and G. Wang, local gradient estimates for conformal quotient equations, to appear in Int. J. Math. | MR | Zbl

[19] P. Guan and G. Wang, Local estimates for a class of fully nonlinear equations arising from conformal geometry, Intern. Math. Res. Not. , 2003, (2003), 1413-1432. | MR | Zbl

[20] P. Guan and G. Wang, A fully nonlinear conformal flow on locally conformally flat manifolds, J. reine und angew. Math., 557, (2003), 219-238. | MR | Zbl

[21] P. Guan and G. Wang, Geometric inequalities on locally conformally flat manifolds, Duke Math. J., 124, (2004), 177-212. | MR | Zbl

[22] M. Gursky and J. Viaclovsky, A new variational characterization of three-dimensional space forms. Invent. Math. 145 (2001), no. 2, 251–278. | MR | Zbl

[23] M. Gursky and J. Viaclovsky, Volume comparison and the ${\sigma }_k$-Yamabe problem, Adv. in Math. 187 (2004), 447-487. | MR | Zbl

[24] M. Gursky and J. Viaclovsky, A fully nonlinear equation on 4-manifolds with positive scalar curvature, J. Diff. Geom., 63, (2003), 131-154. | MR | Zbl

[25] M. Gursky and J. Viaclovsky, Prescribing symmetric functions of the eigenvalues of the Ricci tensor, to appear in Annals Math. | MR

[26] M. Gursky and J. Viaclovsky, Fully nonlinear equations on Riemannian manifolds with negative curvature, Indiana Univ. Math. J., 52 (2003), 399–419. | MR | Zbl

[27] R. Hamilton, Three-manifolds with positive Ricci curvature. J. Differential Geom. , 17 (1982), 255–306. | MR | Zbl

[28] N. Hitchin, Harmonic spinors, Adv. Math. ,14 (1974) 1–55. | MR | Zbl

[29] J. Kazdan and F. Warner, Scalar curvature and conformal deformation of Riemannian structure. J. Differential Geometry, 10 (1975), 113–134. | MR | Zbl

[30] J. Kazdan and F. Warner, Existence and conformal deformation of metrics with prescribed Gaussian and scalar curvatures. Ann. of Math. (2) 101 (1975), 317–331. | MR | Zbl

[31] A. Li and Y. Li, On some conformally invariant fully nonlinear equations, Comm. Pure Appl. Math., 56 (2003), 1416–1464. | MR

[32] A. Lichnerowicz, Spineurs harmoniques, C. R. Acad. Sci. Paris, 257 (1963) 7–9. | MR | Zbl

[33] J. Lohkamp, Metrics of negative Ricci curvature, Ann. of Math. (2) 140 (1994), 655–683. | MR | Zbl

[34] R. Schoen, Conformal deformation of a Riemannian metric to constant curvature, J. Diff. Geom., 20 (1984), 479-495. | MR | Zbl

[35] R. Schoen ans S. T. Yau, On the structure of manifolds with positive scalar curvature. Manuscripta Math. 28 (1979), 159–183. | MR | Zbl

[36] W.M. Sheng, N.Trudinger, X.-J. Wang the Yamabe problem for higher order curvatures, ArXiv : math.DG/0505463. | MR

[37] S. Stolz, Simply connected manifolds of positive scalar curvature. Ann. of Math. (2) 136 (1992), 511–540. | MR | Zbl

[38] N. Trudinger, On imbeddings into Orlicz spaces and some applications, J. Math. Mech. 17 (1967), 473–483. | MR | Zbl

[39] J. Viaclovsky, Conformal geometry, contact geometry and the calculus of variations, Duke J. Math. 101 (2000), no. 2, 283-316. | MR | Zbl

[40] J. Viaclovsky, Estimates and some existence results for some fully nonlinear elliptic equations on Riemannian manifolds, Comm. Anal. Geom. 10 (2002), 815-847. | MR | Zbl

[41] J. Viaclovsky Conformal geometry and fully nonlinear equations. Arxiv : DG/0609158 | MR

[42] H. Yamabe, On a deformation of Riemannian structures on compact manifolds, Osaka Math. J., 12 (1960), 21–37. | MR | Zbl