Jerison, David; Lee, John M. A subelliptic, nonlinear eigenvalue problem and scalar curvature on CR manifolds. (English) Zbl 0577.53035 Microlocal analysis, Proc. Conf., Boulder/Colo. 1983, Contemp. Math. 27, 57-63 (1984). [For the entire collection see Zbl 0527.00007.] As is well-known, the Yamabe problem on a Riemannian manifold is to find a metric of constant scalar curvature among all conformal multiples of a given metric. T. Aubin obtained an important result with respect to this problem [see J. Math. Pures Appl., IX. Sér. 55, 269-296 (1976; Zbl 0336.53033)]. The purpose of the paper under review is to announce an analogous result in the theory of CR-manifolds. Reviewer: A.Bejancu Cited in 13 Documents MSC: 53C25 Special Riemannian manifolds (Einstein, Sasakian, etc.) 53C55 Global differential geometry of Hermitian and Kählerian manifolds 32T99 Pseudoconvex domains Keywords:Yamabe problem; constant scalar curvature; CR-manifolds Citations:Zbl 0527.00007; Zbl 0336.53033 PDFBibTeX XML