Bulletin of the Australian Mathematical Society

Research Article

A distance for similarity classes of submanifolds of a Euclidean space

Patrizio Frosinia1

a1 Istituto Matematico “Ulisse Dini”, Università di Firenze, Viale Morgagni 67/a 50134 Firenze, Italy


A distance is defined on the quotient of the set of submanifolds of a Euclidean space, with respect to similarity. It is then related to a previously defined function which captures the metric behaviour of paths.

(Received December 05 1989)