11 citations · 19 across the 6 of their papers we have counts for
6 papers
Compact surfaces with no Bonnet mate
Gary R. Jensen, Emilio Musso, Lorenzo Nicolodi
This note gives sufficient conditions (isothermic or totally nonisothermic) for an immersion of a compact surface to have no Bonnet mate.
The geometric Cauchy problem for the membrane shape equation
Gary R. Jensen, Emilio Musso, Lorenzo Nicolodi
We address the geometric Cauchy problem for surfaces associated to the membrane shape equation describing equilibrium configurations of vesicles formed by lipid bilayers. This is t…
Dupin hypersurfaces in Lie sphere geometry
Gary R. Jensen
The method of moving frames in Lie sphere geometry has produced significant results in the classification of Dupin hypersurfaces in spheres. What is the secret of its effectiveness…
Dupin hypersurfaces with four principal curvatures, II
Thomas Cecil, Quo-Shin Chi, Gary Jensen
If is an isoparametric hypersurface in a sphere with four distrinct principal curvatures, then the principal curvatures can be ordered so that their multipl…
On Kuiper's conjecture
Thomas Cecil, Quo-Shin Chi, Gary Jensen
We prove that any connected proper Dupin hypersurface in is analytic algebraic and is an open subset of a connected component of an irreducible algebraic set. We prove the s…
Isoparametric hypersurfaces with four principal curvatures
Tom Cecil, Quo-Shin Chi, Gary Jensen
Let be an isoparametric hypersurface in the sphere with four distinct principal curvatures. Münzner showed that the four principal curvatures can have at most two distinc…