Pseudo-Riemannian Homogeneous Structures

• Main Authors: Calvaruso, Giovanni (Author, http://id.loc.gov/vocabulary/relators/aut), Castrillón López, Marco (http://id.loc.gov/vocabulary/relators/aut)
• Corporate Author: SpringerLink (Online service)
• Format: Electronic eBook
• Language: English
• Published: Cham : Springer International Publishing : Imprint: Springer, 2019.
• Edition: 1st ed. 2019.
• Series: Developments in Mathematics, 59
• Subjects: Differential geometry.; Mathematical physics.; Global analysis (Mathematics).; Manifolds (Mathematics).; Topological groups.; Lie groups.; Differential Geometry.; Mathematical Applications in the Physical Sciences.; Global Analysis and Analysis on Manifolds.; Topological Groups, Lie Groups.

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 T...

Table of Contents:

• 1 G-structures, holonomy and homogeneous spaces
• 2 Ambrose-Singer connections and homogeneous spaces
• 3 Locally homogeneous pseudo-Riemannian manifolds
• 4 Classification of homogeneous structures
• 5 Homogeneous structures of linear type
• 6 Reduction of homogeneous structures
• 7 Where all this fails: non-reductive homogeneous pseudo-Riemannian manifolds
• Subject Index.