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Geometry, Algebra and Applications: From Mechanics to Cryptography / edited by Marco Castrillón López, Luis Hernández Encinas, Pedro Martínez Gadea, Mª Eugenia Rosado María.
Springer Nature - Springer Mathematics and Statistics eBooks 2016 English International Available online
View online- Format:
- Book
- Series:
- Springer Proceedings in Mathematics & Statistics, 2194-1017 ; 161
- Language:
- English
- Subjects (All):
- Mathematical physics.
- Geometry, Differential.
- Cryptography.
- Data encryption (Computer science).
- Artificial intelligence--Data processing.
- Artificial intelligence.
- Coding theory.
- Information theory.
- Mathematical Physics.
- Differential Geometry.
- Cryptology.
- Data Science.
- Coding and Information Theory.
- Local Subjects:
- Mathematical Physics.
- Differential Geometry.
- Cryptology.
- Data Science.
- Coding and Information Theory.
- Physical Description:
- 1 online resource (203 p.)
- Edition:
- 1st ed. 2016.
- Place of Publication:
- Cham : Springer International Publishing : Imprint: Springer, 2016.
- Summary:
- 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.
- Notes:
- Description based upon print version of record.
- Includes bibliographical references at the end of each chapters.
- ISBN:
- 3-319-32085-8
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