Advertisement

Ambrose–Singer Connections and Homogeneous Spaces

  • Giovanni CalvarusoEmail author
  • Marco Castrillón López
Chapter
Part of the Developments in Mathematics book series (DEVM, volume 59)

Abstract

Homogeneous and locally homogeneous spaces are among the most important objects of study in Differential Geometry. They have been extensively investigated using several methods and techniques. When considering a homogeneous space, many geometric properties translate into algebraic properties. However, a difficulty arises, due to the fact that the same pseudo-Riemannian manifold (Mg) can admit several different descriptions as a coset space G / H. It is surprising how little is understood about this problem for many well-known examples of homogeneous pseudo-Riemannian manifolds.

Copyright information

© Springer Nature Switzerland AG 2019

Authors and Affiliations

  1. 1.Dipartimento di Matematica e Fisica “Ennio De Giorgi”Università del SalentoLecceItaly
  2. 2.Facultad de Ciencias MatemáticasUniversidad Complutense de MadridMadridSpain

Personalised recommendations