Riemannian Metrics

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


In this chapter we officially define Riemannian metrics, and discuss some of the basic computational techniques associated with them and some standard methods for constructing them. At the end of the chapter, we discuss some important generalizations of Riemannian metrics—most importantly, pseudo-Riemannian metrics.

Copyright information

© Springer International Publishing AG 2018

Authors and Affiliations

  1. 1.Department of MathematicsUniversity of WashingtonSeattleUSA

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