2 papers
math-ph2026
Metric tensors and two-forms in information geometry from the GNS construction
Marco Castrillón López, M. Castrillón López, F. M. Ciaglia +5
We develop a GNS-based construction of geometric tensors on smooth parametric statistical models over -algebras. Since the state space of a -algebra is generally not a sm…
math.DG2025
On the classification of Jacobi curves and their conformal curvatures
A. Bautista, A. Ibort, J. Lafuente
This paper describes the theory of Jacobi curves, a far reaching extension of the spaces of Jacobi fields along Riemannian geodesics, developed by Agrachev and Zelenko. Jacobi curv…