Memoirs of the American Mathematical Society 1992; 77 pp; softcover Volume: 100 ISBN10: 0821825364 ISBN13: 9780821825365 List Price: US$27 Individual Members: US$16.20 Institutional Members: US$21.60 Order Code: MEMO/100/478
 This work is devoted to the case of constant mean curvature surfaces immersed in \(R^3\) (or, more generally, in spaces of constant curvature). Wente reduces this geometrical problem to finding certain integrable solutions to the Gauss equation. Many new and interesting examples are presented, including immersed cylinders in \(R^3\) with embedded Delaunay ends and \(n\)lobes in the middle, and oneparameter families of immersed cmc tori in \(R^3\). Finally, Wente examines minimal surfaces in hyperbolic threespace, which is in some ways the most complicated case. Readership Differential geometers interested in the theory of constant mean curvature surfaces and minimal surfaces. Experts in integrable systems of differential equations. Table of Contents  The differential geometry
 \(H=1/2\) immersions in \(R^3\)
 Minimal surfaces in \(R^3\)
 Minimal surfaces in \(H^3\)
 Illustrations
 Bibliography
