Advertisement

Model Riemannian Manifolds

  • John M. Lee
Chapter
Part of the Graduate Texts in Mathematics book series (GTM, volume 176)

Abstract

Before we delve into the general theory of Riemannian manifolds, we pause to give it some substance by introducing a variety of “model Riemannian manifolds” that should help to motivate the general theory. These manifolds are distinguished by having a high degree of symmetry. We begin by describing the most symmetric model spaces of all—Euclidean spaces, spheres, and hyperbolic spaces. Then we explore some more general classes of Riemannian manifolds with symmetry.

Copyright information

© Springer International Publishing AG 2018

Authors and Affiliations

  1. 1.Department of MathematicsUniversity of WashingtonSeattleUSA

Personalised recommendations