49 citations · 105 across the 7 of their papers we have counts for
Showing 2012Show all
2 papers · 1 filter
cond-mat.soft2012★ 3 cited
Constrained metric variations and emergent equilibrium surfaces
Jemal Guven, Pablo Vázquez-Montejo
Any surface is completely characterized by a metric and a symmetric tensor satisfying the Gauss-Codazzi-Mainardi equations (GCM), which identifies the latter as its curvature. We d…
math-ph2012★ 5 cited
Confining spheres within hyperspheres
Jemal Guven, José Antonio Santiago, Pablo Vázquez-Montejo
The bending energy of any freely deformable closed surface is quadratic in its curvature. In the absence of constraints, it will be minimized when the surface adopts the form of a…