**Memoirs of the American Mathematical Society**

1992;
77 pp;
Softcover

MSC: Primary 53;

Print ISBN: 978-0-8218-2536-5

Product Code: MEMO/100/478

List Price: $29.00

Individual Member Price: $17.40

**Electronic ISBN: 978-1-4704-0055-2
Product Code: MEMO/100/478.E**

List Price: $29.00

Individual Member Price: $17.40

# Constant Mean Curvature Immersions of Enneper Type

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*Henry C. Wente*

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 one-parameter families of immersed cmc tori in \(R^3\). Finally, Wente examines minimal surfaces in hyperbolic three-space, 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.