Helicoidal surfaces with constant anisotropic mean curvature

Abstract

We study surfaces with constant anisotropic mean curvature which are invariant under a helicoidal motion. For functionals with axially symmetric Wulff shapes, we generalize the recently developed twizzler representation of Perdomo to the anisotropic case and show how all helicoidal constant anisotropic mean curvature surfaces can be obtained by quadratures.

References in corpus (2)

• Helicoidal surfaces with constant anisotropic mean curvature
• A dynamical interpretation of the profile curve of cmc Twizzlers surfaces

Cited by in corpus (3)

• Helicoidal surfaces with constant anisotropic mean curvature
• Anisotropic Wavefronts and Laguerre Geometry
• The treadmillsled of a curve