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Connections

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

Abstract

Before defining a notion of curvature that makes sense on arbitrary Riemannian manifolds, we need to study geodesics, the generalizations to Riemannian manifolds of straight lines in Euclidean space. In this chapter, we introduce a new geometric construction called a connection, which is an essential tool for defining geodesics.

Copyright information

© Springer International Publishing AG 2018

Authors and Affiliations

  1. 1.Department of MathematicsUniversity of WashingtonSeattleUSA

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