35 citations · 49 across the 5 of their papers we have counts for
5 papers
Rotations of the three-sphere and symmetry of the Clifford torus
John McCuan, Lafe Spietz
We describe decomposition formulas for rotations of and that have special properties with respect to stereographic projection. We use the lower dimensional decompositio…
Isoperimetric flow and convexity of -graphs
John McCuan
In this paper we consider a ``flow'' of nonparametric solutions of the volume constrained Plateau problem with respect to a convex planar curve. Existence and regularity is obtaine…
Embedded minimal ends asymptotic to the helicoid
John McCuan, David Hoffman
The ends of a complete embedded minimal surface of {\em finite total curvature} are well understood (every such end is asymptotic to a catenoid or to a plane). We give a similar ch…
Retardation of Plateau-Rayleigh Instability: A Distinguishing Characteristic Among Perfectly Wetting Fluids
John McCuan
We consider a cylindrical film of fluid adhering to a rigid cylinder of fixed radius. The main result is to give the critical (maximum) length for which such a film of given thickn…
Symmetry via Spherical Reflection and Spanning Drops in a Wedge
John McCuan
We consider embedded ring-type surfaces (that is, compact, connected, orientable surfaces with two boundary components and Euler-Poincaré characteristic zero) in of c…