7 citations · 12 across the 7 of their papers we have counts for
7 papers
Lie-Poisson reduction in principal bundles by a subgroup of the structure group
Miguel Ángel 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…
Higher-order Euler-Poincaré field equations
Marco Castrillón López, Álvaro Rodríguez Abella
We develop a reduction theory for -invariant Lagrangian field theories defined on the higher-order jet bundle of a principal -bundle, thus obtaining the higher-order Euler-Po…
Poisson-Poincaré reduction for Field Theories
Miguel Á. Berbel, Marco Castrillón López
Given a Hamiltonian system on a fiber bundle, there is a Poisson covariant formulation of the Hamilton equations. When a Lie group G acts freely, properly, preserving the fibers of…
Higher order jet bundles of Lie group-valued functions
Marco Castrillón López, Álvaro Rodríguez Abella
For each positive integer , the bundle of -jets of functions from a smooth manifold, , to a Lie group, , is denoted by and it is canonically endowed with a L…
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…