Affiliation:
1. Department of Mathematics, The Pennsylvania State University, University Park, PA 16802, USA
2. University of Buea, P.O. Box 63, Buea, South west Region Cameroon
Abstract
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)∞.
Cited by
6 articles.
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1. C0-transport of flux geometry;Topology and its Applications;2022-12
2. On Cosymplectic Dynamics I;Complex Manifolds;2022-01-01
3. Hofer-Like Geometry and Flux Theory;Journal of Dynamical Systems and Geometric Theories;2021-07-03
4. C0–Symplectic Geometry Under Displacements;Journal of Dynamical Systems and Geometric Theories;2019-01-02
5. On symplectic dynamics;Differential Geometry and its Applications;2018-12