1 citations · 2 across the 14 of their papers we have counts for
16 papers
-Analogue of Ismagilov's Theorem
Stéphane Tchuiaga
We establish a topological analogue of Ismagilov's theorem concerning the first continuous cohomology of volume-preserving diffeomorphisms. For a closed oriented manifold \(M\) wit…
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…
A Hofer-like Metric on the Space of Anosov Flows
Stéphane Tchuiaga
This paper develops a family of Hofer-like metrics ($\dAnV{V}$) on the space of Anosov vector fields $\An(M)$, providing dynamically relevant distances based on the cost of deforma…
Isometric Splitting of Metrics Without Conjugate Points on
Stéphane Tchuiaga
We establish a global rigidity theorem for Riemannian metrics without conjugate points on three-manifolds of the form , where is a compact orientable surface o…
Arithmetic Aspects of Weil Bundles over -Adic Manifolds
S. Tchuiaga, C. Dor Kewir
We introduce a systematic theory of Weil bundles over \( p \)-adic analytic manifolds, forging new connections between differential calculus over non-archimedean fields and arithme…
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, $\Ham_{η,ω}(M)$, is simple on any closed cosymplectic…
Hofer-Like Geometry Revisited
Stéphane Tchuiaga
We prove a semidirect-product formula for the Hofer-like norm on the identity component \(G_ω(M)\) of the symplectic diffeomorphism group, expressing it as an infimum over the harm…
Metrizability and Dynamics of Weil Bundles
Stéphane Tchuiaga, Moussa Koivogui, Fidèle Balibuno
This paper bridges synthetic and classical differential geometry by investigating the metrizability and dynamics of Weil bundles. For a smooth, compact manifold \(M\) and a Weil al…
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…
Geometric structures on Weil bundles: Canonical differential-geometric constructions
S. Tchuiaga, A. Ndiaye, C. Khoule +1
This paper investigates the transfer of classical geometric structures from a smooth manifold to its Weil bundle associated with a Weil algebra $\…
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 flux…
On the geometry of co-Hamiltonian diffeomorphisms
S. Tchuiaga, P. Bikorimana
This paper studies the geometry of the group of all co-Hamiltonian diffeomorphisms of a compact cosymplectic manifold . The fix-point theory for co-Hamiltonian diffeomor…
On cosymplectic dynamics
S. Tchuiaga, F. Houenou, P. Bikorimana
Cosymplectic geometry can be viewed as an odd dimensional counterpart of symplectic geometry. Likely in the symplectic case, a related property which is preservation of closed form…
Hofer-Like Geometry and Flux Theory
Stéphane Tchuiaga
This paper meticulously revisit and study the flux geometry of any compact oriented manifold . We generalize several well-known factorization results, exhibit some orbital…
On Symplectic Dynamics
Stéphane Tchuiaga
This paper continues to carry out a foundational study of Banyaga topologies of a closed symplectic manifold [3]. Our intension in writing this paper is to provide several symplect…
An enlargement of some symplectic objects
Stéphane Tchuiaga
The study of algebraic properties of groups of transformations of a manifold gives rise to an interplay between different areas of mathemathics such as topology, geometry, and dyna…