Geometry, Algebra and Applications: From Mechanics to Cryptography

  • Marco Castrillón López
  • Luis Hernández Encinas
  • Pedro Martínez Gadea
  • Mª Eugenia Rosado María

Part of the Springer Proceedings in Mathematics & Statistics book series (PROMS, volume 161)

Table of contents

  1. Front Matter
    Pages i-xii
  2. Wafaa Batat, P. M. Gadea, José A. Oubiña
    Pages 1-12
  3. Aurel Bejancu
    Pages 13-24
  4. Miguel Brozos-Vázquez, Esteban Calviño-Louzao, Eduardo García-Río, Ramón Vázquez-Lorenzo
    Pages 25-35
  5. Giovanni Calvaruso
    Pages 37-48
  6. Marco Castrillón López, Pedro L. García
    Pages 49-63
  7. Marco Castrillón López, Tudor S. Ratiu
    Pages 65-78
  8. Raúl Durán Díaz, Luis Hernández Encinas
    Pages 79-90
  9. Amparo Fúster-Sabater, Fausto Montoya Vitini
    Pages 107-119
  10. Víctor Gayoso Martínez, Luis Hernández Encinas, Agustín Martín Muñoz
    Pages 121-133
  11. Rosalía Hernández-Amador, Juan Monterde, José Vallejo
    Pages 135-146
  12. Agustín Marcelo, Félix Marcelo, César Rodríguez
    Pages 147-156
  13. Ángel Martín del Rey, Gerardo Rodríguez Sánchez
    Pages 157-169

About this book


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.


Mathematical physics Differential geometry Data encryption Data structures Cryptology Information theory

Editors and affiliations

  • Marco Castrillón López
    • 1
  • Luis Hernández Encinas
    • 2
  • Pedro Martínez Gadea
    • 3
  • Mª Eugenia Rosado María
    • 4
  1. 1.Departamento de Geometría y TopologíaUniversidad Complutense de MadridMadridSpain
  2. 2.Physical and Information TechnologySpanish National Research Council (CSIC)MadridSpain
  3. 3.Institute of Fundamental PhysicsSpanish National Research Council (CSIC)MadridSpain
  4. 4.Departamento de Matemática AplicadaUniversidad Politécnica de MadridMadridSpain

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