3 papers
math.DG2021
Constrained elastic curves and surfaces with spherical curvature lines
Joseph Cho, Mason Pember, Gudrun Szewieczek
In this paper we consider surfaces with one or two families of spherical curvature lines. We show that every surface with a family of spherical curvature lines can locally be gener…
math.DG2018
Weierstrass-type representations
Mason Pember
Weierstrass-type representations have been used extensively in surface theory to create surfaces with special curvature properties. In this paper we give a unified description of t…
math.DG2017
Characterizing singularities of a surface in Lie sphere geometry
Mason Pember, Wayne Rossman, Kentaro Saji +1
The conditions for a cuspidal edge, swallowtail and other fundamental singularities are given in the context of Lie sphere geometry. We then use these conditions to study the Lie s…