Differential geometry

From Mathematics

Differential geometry is a math science which studies geometry by the use of calculus (differential and integral) methods. In the elementary stages studies curves in euclidean spaces but also surfaces. In little more complex level the main objects are the differential manifolds. Those are abstract spaces where the notion of tangent space in intrinsically attached.

It is interesting to see here how the notion of standard covariant derivative or connection of WikiTeX: wikitex.sh reported a failure, namely:

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defined for vector fields are abstracted and how they are used to establish the central curvature's concept.