14 citations · 22 across the 5 of their papers we have counts for
3 papers · 1 filter
Geometric invariants of non-smooth framed curves
Giulia Bevilacqua, Luca Lussardi, Alfredo Marzocchi
We compare the Serret-Frenet frame with a {\em relatively parallel adapted frame} (RPAF) introduced by Bishop to parametrize -curves. Next, we derive the geometric invaria…
Elastic membranes spanning deformable boundaries
Francesco Ballarin, Giulia Bevilacqua, Luca Lussardi +1
We perform a variational analysis of an elastic membrane spanning a closed curve which may sustain bending and torsion. First, we deal with parametrized curves and linear elastic m…
Variational analysis of inextensible elastic curves
Giulia Bevilacqua, Luca Lussardi, Alfredo Marzocchi
We minimize elastic energies on framed curves which penalize both curvature and torsion. We also discuss critical points using the infinite dimensional version of the Lagrange mult…