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math.DG2026
Foliated Geometry of Inverse Problems: Torsion, Curvature Duality, and Near-Associativity
N. C. Combe, H. K. Nencka
We present a geometric framework for reconstruction problems based on Vaisman foliations and Atiyah--Molino sequences. Independent projections induce transverse foliations and dual…
math.DG2026
On Duality, Legendre Bundles and Deformations
N. C. Combe, P. G. Combe, H. K. Nencka
We introduce the Legendre bundle, a geometric structure encoding the essential duality of dually flat (Hessian) manifolds, and demonstrate that both exponential families in informa…