18 citations · 23 across the 2 of their papers we have counts for
5 papers
Ridge energy for thin nematic polymer networks
Andrea Pedrini, Epifanio G. Virga
Minimizing the elastic free energy of a thin sheet of nematic polymer network among smooth isometric immersions is the strategy purported by the mainstream theory. In this paper, w…
Liquid Crystal Distortions Revealed by an Octupolar Tensor
Andrea Pedrini, Epifanio G. Virga
The classical theory of liquid crystal elasticity as formulated by Oseen and Frank describes the (orientable) optic axis of these soft materials by a director . The gro…
Lily-like twist distribution in toroidal nematics
Andrea Pedrini, Marco Piastra, Epifanio G. Virga
Toroidal nematics are droplets of nematic liquid crystals in the form of a circular torus. When the nematic director is subject to planar degenerate boundary conditions, the bend-o…
Instability of toroidal nematics
Andrea Pedrini, Epifanio G. Virga
Toroidal nematics are nematic liquid crystals confined within a circular torus and subject to planar degenerate anchoring on the boundary of the torus. They may be droplets floatin…
The Euler characteristic of a polyhedron as a valuation on its coordinate vector lattice
Andrea Pedrini
A celebrated theorem of Hadwiger states that the Euler-Poincaré characteristic is the the unique invariant and continuous valuation on the distributive lattice of compact polyhedra…