Synopses & Reviews
Synopsis
1 W. Batat, P. M. Gadea, J. A. Oubi a, A survey on homogeneous structures on the classical hyperbolic spaces.- 2 A. Bejancu, On the (1 + 3) threading of spacetime.- 3 M. Brozos-V zquez, E. Calvi o-Louzao, E. Garc a-R o, R. V zquez-Lorenzo, Local structure of self-dual gradient Yamabe solitons.- 4 G. Calvaruso, The prescribed curvature problem in low dimension.- 5 M. Castrill n L pez, P. L. Garc a, Euler-Poincare reduction by a subgroup of symmetries as an optimal control problem.- 6 M. Castrill n L pez, T. S. Ratiu, Morse families and Lagrangian submanifolds.- 7 R. Dur n D az, L. Hern ndez Encinas, Special primes: properties and applications.- 8 F. Etayo, Rotation Minimizing vector fields and frames in Riemannian manifolds.- 9 R. Ferreiro P rez, Local anomaly cancellation and equivariant cohomology of jet bundles.- 10 A. F ster-Sabater, F. Montoya Vitini, Classes of nonlinear filters for stream ciphers.- 11 V. Gayoso Mart nez, L. Hern ndez Encinas, A. Mart n Mu oz, Implementation of cryptographic algorithms for elliptic curves.- 12 R. Hern ndez-Amador, J. Monterde, J. Vallejo, Supermanifolds, symplectic geometry and curvature.- 13 A. Marcelo, F. Marcelo, C. Rodr guez, Prime submodules and symmetric algebras.- 14 A. Mart n del Rey, G. Rodr guez S nchez, 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.
Synopsis
This volume collects contributions written by different experts in honor of Prof. Jaime Mu oz Masqu . 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.