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…