Lengths of contact isotopies and extensions of the hofer metric

Augustin Banyaga; Paul Donato

doi:10.1007/s10455-005-9011-7

Lengths of contact isotopies and extensions of the hofer metric

Augustin Banyaga, Paul Donato

Research output: Contribution to journal › Article › peer-review

17 Scopus citations

Abstract

Using the Hofer metric, we construct, under a certain condition, a bi-invariant distance on the identity component in the group of strictly contact diffeomorphisms of a compact regular contact manifold. We also show that the Hofer metric on Ham(M) has a right-invariant (but not left invariant) extension to the identity component in the groups of symplectic diffeomorphisms of certain symplectic manifolds.

Original language	English (US)
Pages (from-to)	299-312
Number of pages	14
Journal	Annals of Global Analysis and Geometry
Volume	30
Issue number	3
DOIs	https://doi.org/10.1007/s10455-005-9011-7
State	Published - Oct 2006

All Science Journal Classification (ASJC) codes

Analysis
Political Science and International Relations
Geometry and Topology

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10.1007/s10455-005-9011-7

Cite this

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abstract = "Using the Hofer metric, we construct, under a certain condition, a bi-invariant distance on the identity component in the group of strictly contact diffeomorphisms of a compact regular contact manifold. We also show that the Hofer metric on Ham(M) has a right-invariant (but not left invariant) extension to the identity component in the groups of symplectic diffeomorphisms of certain symplectic manifolds.",

author = "Augustin Banyaga and Paul Donato",

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AU - Donato, Paul

PY - 2006/10

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AB - Using the Hofer metric, we construct, under a certain condition, a bi-invariant distance on the identity component in the group of strictly contact diffeomorphisms of a compact regular contact manifold. We also show that the Hofer metric on Ham(M) has a right-invariant (but not left invariant) extension to the identity component in the groups of symplectic diffeomorphisms of certain symplectic manifolds.

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M3 - Article

AN - SCOPUS:33747498178

SN - 0232-704X

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JO - Annals of Global Analysis and Geometry

JF - Annals of Global Analysis and Geometry

IS - 3

ER -

Lengths of contact isotopies and extensions of the hofer metric

Abstract

All Science Journal Classification (ASJC) codes

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