3 papers
math-ph2026
Metric tensors and two-forms in information geometry from the GNS construction
Marco Castrillón López, Florio M. Ciaglia, Laura González-Bravo +1
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.DG2012
The Equivalence Problem of Curves in a Riemannian Manifold
M. Castrillon Lopez, V. Fernandez Mateos, J. Munoz Masque
The equivalence problem of curves with values in a Riemannian manifold, is solved. The domain of validity of Frenet's theorem is shown to be the spaces of constant curvature. For a…
math.DG2005
Homogeneous quaternionic Kaehler structures and quaternionic hyperbolic space
M. Castrillon Lopez, P. M. Gadea, A. F. Swann
An explicit classification of homogeneous quaternionic Kaehler structures by real tensors is derived and we relate this to the representation-theoretic description found by Fino. W…