Marco Castrillón López – författare

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.

This volume collects contributions written bydifferent experts in honor of Prof. Jaime Muñoz Masqué. It covers awide variety of research topics, from differential geometry to algebra, butparticularly focuses on the geometric formulation of variational calculus;geometric mechanics and field theories; symmetries and conservation laws ofdifferential equations, and pseudo-Riemannian geometry of homogeneous spaces.It also discusses algebraic applications to cryptography and number theory. Itoffers state-of-the-art contributions in the context of current researchtrends. The final result is a challenging panoramic view of connecting problemsthat initially appear distant.