Choose an application

• Reference Manager
• EndNote
• RefWorks (Direct export to RefWorks)

This book provides an up-to-date presentation of homogeneous pseudo-Riemannian structures, an essential tool in the study of pseudo-Riemannian homogeneous spaces. Benefiting from large symmetry groups, these spaces are of high interest in Geometry and Theoretical Physics. Since the seminal book by Tricerri and Vanhecke, the theory of homogeneous structures has been considerably developed and many applications have been found. The present work covers a gap in the literature of more than 35 years, presenting the latest contributions to the field in a modern geometric approach, with special focus on manifolds equipped with pseudo-Riemannian metrics. This unique reference on the topic will be of interest to researchers working in areas of mathematics where homogeneous spaces play an important role, such as Differential Geometry, Global Analysis, General Relativity, and Particle Physics.

Semi-Riemannian geometry. --- Global differential geometry. --- Global analysis. --- Topological Groups. --- Differential Geometry. --- Mathematical Applications in the Physical Sciences. --- Global Analysis and Analysis on Manifolds. --- Topological Groups, Lie Groups. --- Groups, Topological --- Continuous groups --- Geometry, Differential --- Differential geometry. --- Mathematical physics. --- Global analysis (Mathematics). --- Manifolds (Mathematics). --- Topological groups. --- Lie groups. --- Groups, Lie --- Lie algebras --- Symmetric spaces --- Topological groups --- Topology --- Analysis, Global (Mathematics) --- Differential topology --- Functions of complex variables --- Geometry, Algebraic --- Physical mathematics --- Physics --- Differential geometry --- Mathematics

Choose an application

• Reference Manager
• EndNote
• RefWorks (Direct export to RefWorks)

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.

Coding theory. --- Mathematics. --- Math --- Science --- Global differential geometry. --- Data encryption (Computer science). --- Data structures (Computer scienc. --- Mathematical Physics. --- Differential Geometry. --- Cryptology. --- Data Structures. --- Coding and Information Theory. --- Data compression (Telecommunication) --- Digital electronics --- Information theory --- Machine theory --- Signal theory (Telecommunication) --- Computer programming --- Data encoding (Computer science) --- Encryption of data (Computer science) --- Computer security --- Cryptography --- Geometry, Differential --- Mathematical physics. --- Differential geometry. --- Data structures (Computer science). --- Information theory. --- Communication theory --- Communication --- Cybernetics --- Information structures (Computer science) --- Structures, Data (Computer science) --- Structures, Information (Computer science) --- Electronic data processing --- File organization (Computer science) --- Abstract data types (Computer science) --- Differential geometry --- Physical mathematics --- Physics --- Mathematics