Elementary Differential Geometry

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


The model of spacetime used by the general theory of relativity is that of a differential manifold with a Riemannian geometry. In this and the next few chapters we develop the necessary background with emphasis on tools necessary for a physicist. This introduction is not rigorous from a mathematician’s point of view. We would assume that these manifolds have all the nice mathematical properties (Hausdorff nature, paracompactness etc.) which are needed for the existence of various geometrical quantities and procedures.


Smooth Function Tangent Space Tangent Vector Tensor Field Exterior Derivative 
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© Hindustan Book Agency (HBA) 2009

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