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Riemannian Metrics

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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

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.

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Correspondence to John M. Lee .

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Lee, J.M. (2018). Riemannian Metrics. In: Introduction to Riemannian Manifolds. Graduate Texts in Mathematics, vol 176. Springer, Cham. https://doi.org/10.1007/978-3-319-91755-9_2

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