On the Metrics on the Space of Simple Closed Plane Curves

April 4, 2006
There are so many Riemannian metrics on the space of curves, it is worthwhile to compare them. I will take one fixed shape and contrast the shape of the unit ball in 5 of these metrics. After that, I want to discuss in more detail one particular Riemannian metric which was first proposed by Younes and has recently been investigated by Mio-Srivastava and by Shah.