Hexagonal surfaces of Kapouleas

Frank Morgan

Vol. 220 (2005), No. 2, 379–387

DOI: 10.2140/pjm.2005.220.379

Abstract

For the norm on ℝ³ whose isoperimetric shape is a hexagonal prism rather than a round ball, we give analogs of the compact immersed constant-mean-curvature surfaces of Kapouleas.

Keywords

generalized constant mean curvature, surfaces of Kapouleas, hexagonal Wulff shape

Mathematical Subject Classification 2000

Primary: 53A10

Milestones

Received: 6 March 2003

Revised: 24 February 2004

Published: 1 June 2005