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What Is Curvature?

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Introduction to Riemannian Manifolds

Part of the book series: Graduate Texts in Mathematics ((GTM,volume 176))

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Abstract

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.

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Correspondence to John M. Lee .

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Lee, J.M. (2018). What Is Curvature?. In: Introduction to Riemannian Manifolds. Graduate Texts in Mathematics, vol 176. Springer, Cham. https://doi.org/10.1007/978-3-319-91755-9_1

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