Unboundedness of the Lagrangian Hofer distance in the Euclidean ball

Sobhan Seyfaddini

doi:10.3934/era.2014.21.1

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2014, Volume 21: 1-7. Doi: 10.3934/era.2014.21.1

This volume Previous Article Next Article Square function estimates in spaces of homogeneous type and on uniformly rectifiable Euclidean sets

Unboundedness of the Lagrangian Hofer distance in the Euclidean ball

Sobhan Seyfaddini^1,

1.
Département de Mathématiques et Applications de l'École Normale Supérieure, 45 rue d'Ulm, F 75230 Paris cedex 05

Received: September 30, 2013

Revised: October 31, 2013

Published: December 2013

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Abstract

Let $\mathcal{L}$ denote the space of Lagrangians Hamiltonian isotopic to the standard Lagrangian in the unit ball in $\mathbb{R}^{2n}$. We prove that the Lagrangian Hofer distance on $\mathcal{L}$ is unbounded.

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Mathematics Subject Classification: Primary: 53D40; Secondary 37J05.

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