Global properties of rational and logarithmico-rational minimal surfaces

E. F. Beckenbach, Fook H. Eng and Richard Edward Tafel

Vol. 50 (1974), No. 2, 355–381

DOI: 10.2140/pjm.1974.50.355

Abstract

In this paper, rational and logarithmico-rational minimal surfaces are defined and some of their properties are investigated. In particular, it is shown—perhaps somewhat surprisingly—that the fundamental theorem of algebra, suitably formulated, holds for these surfaces.

Mathematical Subject Classification 2000

Primary: 53A10

Secondary: 32H25, 49F10, 30A70

Milestones

Received: 19 October 1972

Published: 1 February 1974