This volume collects contributions written bydifferent experts in honor of Prof. Jaime Muñoz Masqué. It covers awide variety of research topics, from differential geometry to algebra, butparticularly focuses on the geometric formulation of variational calculus;geometric mechanics and field theories; symmetries and conservation laws ofdifferential equations, and pseudo-Riemannian geometry of homogeneous spaces.It also discusses algebraic applications to cryptography and number theory. Itoffers state-of-the-art contributions in the context of current researchtrends. The final result is a challenging panoramic view of connecting problemsthat initially appear distant.

Offers a unique collection of

1 W. Batat, P. M. Gadea, J. A. Oubiña, A survey on homogeneousstructures on the classical hyperbolic spaces.- 2 A. Bejancu, On the (1 + 3) threading of spacetime.- 3 M. Brozos-Vázquez, E.Calviño-Louzao, E. García-Río, R. Vázquez-Lorenzo, Local structure ofself-dual gradient Yamabe solitons.- 4 G. Calvaruso, The prescribed curvature problem in low dimension.5 M.Castrillón López, P. L. García, Euler-Poincare reduction by a subgroup ofsymmetries as an optimal control problem.- 6 M. Castrillón López, T. S. Ratiu, Morse families andLagrangian submanifolds.- 7 R. Durán Díaz, L. Hernández Encinas, Special primes: properties and applications.8 F. Etayo, Rotation Minimizing vectorfields and frames in Riemannian manifolds.- 9 R. Ferreiro Pérez, Local anomaly cancellation and equivariantcohomology of jet bundles.- 10 A. Fúster-Sabater, F. Montoya Vitini, Classes of nonlinear filters for streamciphers.- 11 V. Gayoso Martínez, L. Hernández Encinas, A.Martín Muñoz, Implementation of cryptographic algorithms for ellipticcurves.- 12 R.Hernández-Amador, J. Monterde, J. Vallejo, Supermanifolds, symplectic geometry and curvature.13 A. Marcelo, F. Marcelo, C. Rodríguez, Prime submodules and symmetric algebras.- 14 A. Martín del Rey, G. Rodríguez Sánchez, Application to cybersecurityof the stability theory of the systems of ordinary differential equations.- 15I. V. Mykytyuk, On the non-triviality of the eight-formT4(w) on manifolds with a Spin(9)-structure.- 16 A. Peinado, Flaws in the applicationof Number Theory in Key Distribution Schemes for Multicast Networks.- 17 L. Pozo, E. Rosado, Einstein-HilbertLagrangian induced on the linear frame bundle.