Embedded minimal annuli in \(\mathbb{R}^ 3\) bounded by a pair of straight lines. (English) Zbl 0765.53004

Hoffman, David; Karcher, Hermann; Rosenberg, Harold

Comment. Math. Helv. 66, No. 4, 599-617 (1991).

Riemann’s minimal surface is characterized as the only minimal surface in \(\mathbb{R}^ 3\) which contains an embedded minimal annulus bounded by two straight lines and lying in the slab between two parallel planes through these lines.

Reviewer: U.Pinkall (Berlin)

MSC:

53A10

Minimal surfaces in differential geometry, surfaces with prescribed mean curvature

Keywords:

Riemann’s minimal surface; minimal surface in \(\mathbb{R}^ 3\); embedded minimal annulus