5 papers
Lie-Poisson reduction in principal bundles by a subgroup of the structure group
Miguel Ãngel Berbel, Marco Castrillón López
We study Hamiltonian field theories on the multisymplectic bundle of a principal G-bundle with Hamiltonian densities invariant under a subgroup . Using the covariant br…
Canonical Reductive Decomposition of Extrinsic Homogeneous Submanifolds
José Luis Carmona Jiménez, Marco Castrillón López
Let be a homogeneous Riemannian manifold. Given a Lie subgroup and a reductive decomposition of the homogeneous str…
Lorentzian symmetric spaces which are Einstein-Yang-Mills with respect to invariant metric connections
Marco Castrillón López, Pedro M. Gadea, Eugenia Rosado Maria
We classify four-dimensional connected simply-connected indecomposable Lorentzian symmetric spaces with connected nontrivial isotropy group furnishing solutions of the Einstein…
Privacy-preserving machine learning with tensor networks
Alejandro Pozas-Kerstjens, Senaida Hernández-Santana, José Ramón Pareja Monturiol +4
Tensor networks, widely used for providing efficient representations of low-energy states of local quantum many-body systems, have been recently proposed as machine learning archit…
The Ambrose-Singer Theorem for cohomogeneity one Riemannian manifolds
José Luis Carmona Jiménez, Marco Castrillón López, José Carlos DÃaz-Ramos
We characterize isometric actions whose principal orbits are hypersurfaces through the existence of a linear connection satisfying a set of covariant equations in the same spirit a…