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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

MSC:

53C25 Special Riemannian manifolds (Einstein, Sasakian, etc.)
53C55 Global differential geometry of Hermitian and Kählerian manifolds
32T99 Pseudoconvex domains