S. Tchuiaga

activity

20242026

collaborators

11 papers

math.GT2026

$C^{0}$ -Analogue of Ismagilov's Theorem

Stéphane Tchuiaga

We establish a $C^{0}$ -analogue of Ismagilov's theorem on the first continuous cohomology of volume-preserving diffeomorphisms. For a closed oriented manifold, we prove that the firs…

math.SG2026

Abel-Jacobi Map and Symplectic Topology

Stephane Tchuiaga

We develop a harmonic-coordinate approach to the identity component $G_{ω} (Σ_{g})$ of the symplectomorphism group of a closed oriented surface of genus $g \geq 2$ . Using an intrinsic deco…

math.SG2026

Hofer-Like Geometry Revisited

StÃ©phane 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…

math.DG2025

Isometric Splitting of Metrics Without Conjugate Points on $I^£ \times S^{1}$

StÃ©phane Tchuiaga

We establish a global rigidity theorem for Riemannian metrics without conjugate points on three-manifolds of the form $M = I^£ \times S^{1}$ , where $I^£$ is a compact orientable surface…

math.SG2025

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, $\Ham_{Î·,Ï}(M)$, is simple on any closed cosymplecti…

math.DS2025

A Hofer-like Metric on the Space of Anosov Flows

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…

C0-Analogue of Ismagilov's Theorem