2 papers
math-ph2024
Self-contact preventing energy for tubular rods
Chiara Lonati, Alfredo Marzocchi
We introduce a generalization of Mobius energy for knots to an energy functional for tubular neighbourhoods of closed inextensible curves. We prove the continuity of the energy and…
math.AP2023
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…