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Riemannian Geometry

Part of the Progress in Mathematical Physics book series (PMP, volume 56)

Abstract

We have discussed connection, covariant derivative, and curvature in the previous chapter without even mentioning the metric tensor g ij . This has been done to emphasize that these concepts are independent of the existence of a metric. We first discuss Riemannian geometry in its classical (component-index) form in the coordinate basis. Only later do we put in the abstract and elegant form.

Keywords

Covariant Derivative Tangent Vector Bianchi Identity Riemannian Geometry Weyl Tensor 
These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.

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Copyright information

© Hindustan Book Agency (HBA) 2009

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