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What is Manifolds in General Relativity about?

This document provides definitions and examples related to manifolds in general relativity. It defines a manifold as a set with coordinate charts that map subsets of the set smoothly to subsets of Euclidean space. Examples given include Euclidean space Rn as a trivial n-manifold, and the 2-sphere S2 as a 2-manifold covered by coordinate charts mapping hemispheres to the unit disk. Manifolds can be combined to form product manifolds. Differentiability of functions between manifolds is defined using coordinat

Author

Sayantan

Language

EN