Recent advances in the global theory of constant mean curvature surfaces
Abstract
Description
The theory of complete surfaces of (nonzero) constant mean curvature in $\RR^3$ has progressed markedly in the last decade. This paper surveys a number of these developments in the setting of Alexandrov embedded surfaces; the focus is on gluing constructions and moduli space theory, and the analytic techniques on which these results depend. The last section contains some new results about smoothing the moduli space and about CMC surfaces in asymptotically Euclidean manifolds.
29 pages. Written for the Proceedings of the Conference in Honor of Haim Brezis and Felix Browder, Oct. 2001
29 pages. Written for the Proceedings of the Conference in Honor of Haim Brezis and Felix Browder, Oct. 2001