4,073 research outputs found
Anisotropic Wavefronts and Laguerre Geometry
Motivated by the study of wave fronts in anisotropic media, we propose an
incidence geometry of anisotropic spheres in a Finsler-Minkowski space. An
anisotropic version of the Laguerre functional is considered. In some
circumstances, this functional can be used to determine that two wavefronts
observed at distinct times in a homogeneous, anisotropic medium, do not
originate from the same source
Stable closed equilibria for anisotropic surface energies: Surfaces with edges
We study the stability of closed, not necessarily smooth, equilibrium
surfaces of an anisotropic surface energy for which the Wulff shape is not
necessarily smooth. We show that if the Cahn Hoffman field can be extended
continuously to the whole surface and if the surface is stable, then the
surface is, up to rescaling, the Wulff shape
Importance of riparian zones to terrestrial birds in a forest region of South East Australia
Helicoidal surfaces with constant anisotropic mean curvature
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
Range degradation and land tenure change: insights from a ‘released’ communal area of Eastern Cape province, South Africa
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