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A distance for similarity classes of submanifolds of a Euclidean space

Published online by Cambridge University Press:  17 April 2009

Patrizio Frosini
Affiliation:
Istituto Matematico “Ulisse Dini”, Università di Firenze, Viale Morgagni 67/a 50134 Firenze, Italy
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Abstract

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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.

Type
Research Article
Copyright
Copyright © Australian Mathematical Society 1990

References

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