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The group of strong symplectic homeomorphisms in the L∞-metric
-
A. Banyaga
and
S. Tchuiaga
Published/Copyright:
July 8, 2014
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)∞.
Keywords: Ssympeomorphisms; admissible symplectic diffeomorphisms; generator of symplectic paths; symplectic homeomorphisms; C0-symplectic topology
Published Online: 2014-7-8
Published in Print: 2014-7-1
© 2014 by Walter de Gruyter Berlin/Boston
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Keywords for this article
Ssympeomorphisms;
admissible symplectic diffeomorphisms;
generator of symplectic paths;
symplectic homeomorphisms;
C0-symplectic topology
Articles in the same Issue
- Masthead
- On axiomatic definitions of non-discrete affine buildings
- On Clifford analysis for holomorphic mappings
- Universal points of convex bodies and bisectors in Minkowski spaces
- The equal tangents property
- Some theorems of harmonic maps for Finsler manifolds
- The regular Grünbaum polyhedron of genus 5
- On the existence of nilsolitons on 2-step nilpotent Lie groups
- Rotational linear Weingarten hypersurfaces in the Euclidean sphere Sn+1
- Spacelike hypersurfaces in anti-de Sitter space
- The group of strong symplectic homeomorphisms in the L∞-metric
- The total Betti number of the intersection of three real quadrics
- On the algebraic models of symmetric smooth manifolds
- Non-existence of tight neighborly triangulated manifolds with β1 = 2
