The group of strong symplectic homeomorphisms in the L-metric

Augustin Banyaga, Stéphane Tchuiaga

Research output: Contribution to journalArticle

3 Citations (Scopus)

Abstract

The group SSympeo(M, ω) of strong symplectic homeomorphisms or group of ssympeomorphisms of a closed connected symplectic manifold (M, ω) was defined and studied in [2], [3]. In these papers the author uses the L(1,∞)-metric on the group Iso(M, ω) of all symplectic isotopies. In this paper we study the set SSympeo(M, ω) of ssympeomorphisms in the L-metric. We prove the equality between SSympeo(M, ω) and SSympeo(M, ω). This generalizes Müller's result [6] asserting that Hameo(M, ω) = Hameo(M, ω).

Original languageEnglish (US)
Pages (from-to)523-539
Number of pages17
JournalAdvances in Geometry
Volume14
Issue number3
DOIs
StatePublished - Jul 1 2014

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Metric
Symplectic Manifold
Equality
Closed
Generalise

All Science Journal Classification (ASJC) codes

  • Geometry and Topology

Cite this

Banyaga, Augustin ; Tchuiaga, Stéphane. / The group of strong symplectic homeomorphisms in the L-metric. In: Advances in Geometry. 2014 ; Vol. 14, No. 3. pp. 523-539.
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The group of strong symplectic homeomorphisms in the L-metric. / Banyaga, Augustin; Tchuiaga, Stéphane.

In: Advances in Geometry, Vol. 14, No. 3, 01.07.2014, p. 523-539.

Research output: Contribution to journalArticle

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