5 papers · 1 filter
Abel-Jacobi Map and Symplectic Topology
Stephane Tchuiaga
We develop a harmonic-coordinate approach to the identity component of the symplectomorphism group of a closed oriented surface of genus . Using an intrinsic deco…
Hofer-Like Geometry Revisited
Stéphane Tchuiaga, Stéphane Tchuiaga
We show that Banyaga's Hofer-like norm, a generalization of the Hofer norm, coincides with the classical Hofer norm when restricted to Hamiltonian diffeomorphisms on compact symple…
The Simplicity of the Group of Weakly Hamiltonian Diffeomorphisms on Cosymplectic Manifolds
S. Tchuiaga, P. Bikorimana
We establish a cosymplectic counterpart of Banyaga's theorem by proving that the group of weakly Hamiltonian diffeomorphisms, $\Ham_{η,Ï}(M)$, is simple on any closed cosymplecti…
Extending the flux homomorphism to volume-preserving homeomorphisms
Stéphane Tchuiaga
This paper extends the flux homomorphism to volume-preserving homeomorphisms. A surprising rigidity result where the extended flux groups coincide with the standard flu…
On Banyaga's conjecture on the group of symplectic homeomorphisms
Carole Madengko, Stephane Tchuiaga, Franck Houenou
This paper addresses Banyaga's conjecture asserting that : the group of strong symplectic homeomorphisms is a proper normal subgroup of the symplectic homeomorphism group of a clos…