Geometry, Algebra and Applications: From Mechanics to Cryptography [electronic resource] / edited by Marco Castrillón López, Luis Hernández Encinas, Pedro Martínez Gadea, Mª Eugenia Rosado María.

1 W. Batat, P. M. Gadea, J. A. Oubiña, A survey on homogeneous structures 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 of self-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 of symmetries as an optimal control problem -- 6 M. Castrillón López, T. S. Ratiu, Morse families and Lagrangian submanifolds -- 7 R. Durán Díaz, L. Hernández Encinas, Special primes: properties and applications -- 8 F. Etayo, Rotation Minimizing vector fields and frames in Riemannian manifolds -- 9 R. Ferreiro Pérez, Local anomaly cancellation and equivariant cohomology of jet bundles -- 10 A. Fúster-Sabater, F. Montoya Vitini, Classes of nonlinear filters for stream ciphers -- 11 V. Gayoso Martínez, L. Hernández Encinas, A. Martín Muñoz, Implementation of cryptographic algorithms for elliptic curves -- 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 cybersecurity of the stability theory of the systems of ordinary differential equations -- 15 I. V. Mykytyuk, On the non-triviality of the eight-form T4(w) on manifolds with a Spin(9)-structure -- 16 A. Peinado, Flaws in the application of Number Theory in Key Distribution Schemes for Multicast Networks -- 17 L. Pozo, E. Rosado, Einstein-Hilbert Lagrangian induced on the linear frame bundle.

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