Helicoidal surfaces with constant anisotropic mean curvature

Details Helicoidal surfaces with constant anisotropic mean curvature Helicoidal surfaces with constant anisotropic mean curvature

2010-10-07

arxiv.org/abs/1010.1557v1

Mathematics

Differential Geometry

Scientific paper

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.

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