Calculus of Variations and Geometric Measure Theory

A. C. G. Mennucci

Some examples of Riemannian metrics of curves

created by mennucci on 07 May 2019


Lecture Notes

Inserted: 7 may 2019
Last Updated: 7 may 2019

Year: 2019

Workshop on Elastic Curves 6.-8. May 2019 Mathematisches Institut Albert-Ludwigs-Universit├Ąt Freiburg 8th May 2019

Links: conference page


There has been wide interest in recent years regarding Riemannian metrics of curves. Many models have been proposed in the literature and studied , both theoretically and in applications. I will present examples of first and second order Riemannian metrics of curves, and discuss the merits and downfalls of these.