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Topological lower bounds on the distance between area preserving diffeomorphisms

Topological lower bounds on the distance between area preserving diffeomorphisms Area preserving diffeomorphisms of the 2-disk which are Identity near the boundary form a group which can be equipped, using theL 2-norm on its Lie algebra, with a right invariant metric. In this paper we give a lower bound on the distance between diffeomorphisms which is invariant under area preserving changes of coordinates and which improves the lower bound induced by the Calabi invariant. In the case of renormalizable and infinitely renormalizable maps, our estimate can be improved and computed. http://www.deepdyve.com/assets/images/DeepDyve-Logo-lg.png Bulletin of the Brazilian Mathematical Society, New Series Springer Journals

Topological lower bounds on the distance between area preserving diffeomorphisms

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References (12)

Publisher
Springer Journals
Copyright
Copyright © 2000 by Sociedade Brasileira de Matemática
Subject
Mathematics; Mathematics, general; Theoretical, Mathematical and Computational Physics
ISSN
1678-7544
eISSN
1678-7714
DOI
10.1007/BF01377592
Publisher site
See Article on Publisher Site

Abstract

Area preserving diffeomorphisms of the 2-disk which are Identity near the boundary form a group which can be equipped, using theL 2-norm on its Lie algebra, with a right invariant metric. In this paper we give a lower bound on the distance between diffeomorphisms which is invariant under area preserving changes of coordinates and which improves the lower bound induced by the Calabi invariant. In the case of renormalizable and infinitely renormalizable maps, our estimate can be improved and computed.

Journal

Bulletin of the Brazilian Mathematical Society, New Series – Springer Journals

Published: Feb 1, 2000

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