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math.DG2025
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…
math.DG2025
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 $…
math.DG2025
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…