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Pseudo-Riemannian Homogeneous Structures

  • Giovanni Calvaruso
  • Marco Castrillón López
Book

Part of the Developments in Mathematics book series (DEVM, volume 59)

Table of contents

  1. Front Matter
    Pages i-xv
  2. Giovanni Calvaruso, Marco Castrillón López
    Pages 1-39
  3. Giovanni Calvaruso, Marco Castrillón López
    Pages 41-58
  4. Giovanni Calvaruso, Marco Castrillón López
    Pages 59-90
  5. Giovanni Calvaruso, Marco Castrillón López
    Pages 91-131
  6. Giovanni Calvaruso, Marco Castrillón López
    Pages 133-169
  7. Giovanni Calvaruso, Marco Castrillón López
    Pages 171-195
  8. Giovanni Calvaruso, Marco Castrillón López
    Pages 197-221
  9. Back Matter
    Pages 223-230

About this book

Introduction

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.

Keywords

Ambrose-Singer theorem Classification of manifolds Torsors Holonomy Homogeneous spaces Homogeneous structures Pseudo-Riemannian manifolds

Authors and affiliations

  • Giovanni Calvaruso
    • 1
  • Marco Castrillón López
    • 2
  1. 1.Dipartimento di Matematica e Fisica “Ennio De Giorgi”Università del SalentoLecceItaly
  2. 2.Facultad de Ciencias MatemáticasUniversidad Complutense de MadridMadridSpain

Bibliographic information

  • DOI https://doi.org/10.1007/978-3-030-18152-9
  • Copyright Information Springer Nature Switzerland AG 2019
  • Publisher Name Springer, Cham
  • eBook Packages Mathematics and Statistics
  • Print ISBN 978-3-030-18151-2
  • Online ISBN 978-3-030-18152-9
  • Series Print ISSN 1389-2177
  • Series Online ISSN 2197-795X
  • Buy this book on publisher's site
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