Details
Geometry, Algebra and Applications: From Mechanics to Cryptography
Springer Proceedings in Mathematics & Statistics, Band 161
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96,29 € |
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| Verlag: | Springer |
| Format: | |
| Veröffentl.: | 30.06.2016 |
| ISBN/EAN: | 9783319320854 |
| Sprache: | englisch |
Dieses eBook enthält ein Wasserzeichen.
Beschreibungen
<p>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.</p>
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.</p>
<p>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 <i>T</i>4(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.</p>
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 <i>T</i>4(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.</p>
<p><b>Prof. Marco Castrillón López</b> read Mathematics and Physics in
Madrid. He is currently Profesor Titular at the Universidad Complutense de
Madrid, where he also received his Ph.D. in Mathematics. He was a postdoc at École
Polytechnique Fédérale de Lausanne (Switzerland), and Faculty Visitor at
Caltech (Pasadena, USA), PIMS (Vancouver, Canada), Imperial College (London,
UK), TATA Institute (Mumbay, India) and PUC (Rio de Janeiro, Brazil). His research
work mainly focuses on geometric variational calculus, gauge theories and
Riemannian geometry with applications to relativity, classical field theories and
other topics in theoretical physics. His has over 50 publications and books to
his name.</p><p><b>Prof. Pedro M. Gadea</b> taught at the Universities of
Santiago de Compostela and Valladolid in Spain. He is now a scientific
researcher at the Instituto de Física Fundamental, CSIC, Madrid, Spain. He has published
almost seventy research papers on several topics of differential geometry and algebraic
topology. He has also been the advisor for four Ph.D. theses. His current
interests are Differential Geometry, more specifically in homogeneous spin
Riemannian manifolds and Ricci-flat invariant Kähler structures.</p><p><b>L. Hernández Encinas</b><b> </b>graduated in Mathematics at the University of Salamanca (Spain) in 1980,
and received his Ph.D. in Mathematics at the same university in 1992. He is a
researcher at the Department of Information Processing and Cryptography (TIC)
at the Institute of Physical and Information Technologies (ITEFI), Spanish
National Research Council (CSIC) in Madrid. He has participated in more than 30
research projects. He is author of 9 books, 9 patents, more than 150 papers, and
over 100 contributions to workshops and conferences. He has also supervised several
doctoral theses. His current research interests include
cryptography and cryptanalysis of public key cryptosystems, digital signature schemes,
authentication and identificationprotocols, crypto-biometry, side channel
attacks, and number theory problems.</p><p><b>M. Eugenia Rosado María</b> graduated in Mathematics at the
University Complutense de Madrid, and obtained her Ph.D. in Mathematics at the
same university. She taught at the Universities Autónoma de Madrid, Spain and currently
teaches at the Universidad Politécnica de Madrid. She has published around 20
papers on several topics in differential geometry. Her research interests are
in geometrical variational calculus, geometric methods in differential
equations, differential invariants and other topics in differential geometry.</p>
Madrid. He is currently Profesor Titular at the Universidad Complutense de
Madrid, where he also received his Ph.D. in Mathematics. He was a postdoc at École
Polytechnique Fédérale de Lausanne (Switzerland), and Faculty Visitor at
Caltech (Pasadena, USA), PIMS (Vancouver, Canada), Imperial College (London,
UK), TATA Institute (Mumbay, India) and PUC (Rio de Janeiro, Brazil). His research
work mainly focuses on geometric variational calculus, gauge theories and
Riemannian geometry with applications to relativity, classical field theories and
other topics in theoretical physics. His has over 50 publications and books to
his name.</p><p><b>Prof. Pedro M. Gadea</b> taught at the Universities of
Santiago de Compostela and Valladolid in Spain. He is now a scientific
researcher at the Instituto de Física Fundamental, CSIC, Madrid, Spain. He has published
almost seventy research papers on several topics of differential geometry and algebraic
topology. He has also been the advisor for four Ph.D. theses. His current
interests are Differential Geometry, more specifically in homogeneous spin
Riemannian manifolds and Ricci-flat invariant Kähler structures.</p><p><b>L. Hernández Encinas</b><b> </b>graduated in Mathematics at the University of Salamanca (Spain) in 1980,
and received his Ph.D. in Mathematics at the same university in 1992. He is a
researcher at the Department of Information Processing and Cryptography (TIC)
at the Institute of Physical and Information Technologies (ITEFI), Spanish
National Research Council (CSIC) in Madrid. He has participated in more than 30
research projects. He is author of 9 books, 9 patents, more than 150 papers, and
over 100 contributions to workshops and conferences. He has also supervised several
doctoral theses. His current research interests include
cryptography and cryptanalysis of public key cryptosystems, digital signature schemes,
authentication and identificationprotocols, crypto-biometry, side channel
attacks, and number theory problems.</p><p><b>M. Eugenia Rosado María</b> graduated in Mathematics at the
University Complutense de Madrid, and obtained her Ph.D. in Mathematics at the
same university. She taught at the Universities Autónoma de Madrid, Spain and currently
teaches at the Universidad Politécnica de Madrid. She has published around 20
papers on several topics in differential geometry. Her research interests are
in geometrical variational calculus, geometric methods in differential
equations, differential invariants and other topics in differential geometry.</p>
<p>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.<br></p>
Offers a unique collection of contributions on different topics related to differential geometry and algebra Encourages further exploration Appeals to readers interested
in the applications of geometry and algebra Includes supplementary material: sn.pub/extras
in the applications of geometry and algebra Includes supplementary material: sn.pub/extras
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