Helicoidal surfaces with constant anisotropic mean curvature
Differential Geometry
2015-05-20 v1
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.
Cite
@article{arxiv.1010.1557,
title = {Helicoidal surfaces with constant anisotropic mean curvature},
author = {Chad Kuhns and Bennett Palmer},
journal= {arXiv preprint arXiv:1010.1557},
year = {2015}
}