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Full Description
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.
Contents
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.
