What Is Curvature?

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


The central unifying theme in current Riemannian geometry research is the notion of curvature and its relation to topology. To put the subject in perspective, this chapter addresses some very basic questions: What is curvature? What are some important theorems about it? We explore these and related questions in an informal way, without proofs.

Copyright information

© Springer International Publishing AG 2018

Authors and Affiliations

  1. 1.Department of MathematicsUniversity of WashingtonSeattleUSA

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