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Reduction of Homogeneous Structures

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

Abstract

Symmetries represent a classical tool in reduction procedures, found in many different contexts, such as systems of differential equations, variational principles, symplectic or other geometric structures, etc. The philosophy is quite simple: given any object on a manifold \(\bar{M}\) and a group of symmetries H preserving that object, the existence of a similar object on the quotient \(\bar{M}/H\) may simplify the study of the properties of the initial one.

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

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