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 language | English (US) |
|---|---|
| Pages (from-to) | 523-539 |
| Number of pages | 17 |
| Journal | Advances in Geometry |
| Volume | 14 |
| Issue number | 3 |
| DOIs | |
| State | Published - Jul 1 2014 |
Fingerprint
All Science Journal Classification (ASJC) codes
- Geometry and Topology
Cite this
}
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 journal › Article
TY - JOUR
T1 - The group of strong symplectic homeomorphisms in the L∞-metric
AU - Banyaga, Augustin
AU - Tchuiaga, Stéphane
PY - 2014/7/1
Y1 - 2014/7/1
N2 - 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)∞.
AB - 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)∞.
UR - http://www.scopus.com/inward/record.url?scp=84925344899&partnerID=8YFLogxK
UR - http://www.scopus.com/inward/citedby.url?scp=84925344899&partnerID=8YFLogxK
U2 - 10.1515/advgeom-2013-0041
DO - 10.1515/advgeom-2013-0041
M3 - Article
AN - SCOPUS:84925344899
VL - 14
SP - 523
EP - 539
JO - Advances in Geometry
JF - Advances in Geometry
SN - 1615-715X
IS - 3
ER -