2 papers
math.DG2019
The weak Frenet frame of non-smooth curves with finite total curvature and absolute torsion
Domenico Mucci, Alberto Saracco
We deal with a notion of weak binormal and weak principal normal for non-smooth curves of the Euclidean space with finite total curvature and total absolute torsion. By means of pi…
math.DG2018
Bounded variation and relaxed curvature of surfaces
Domenico Mucci, Alberto Saracco
We consider a relaxed notion of energy of non-parametric codimension one surfaces that takes account of area, mean curvature, and Gauss curvature. It is given by the best value obt…