Question

$\huge\bf\fbox{ Question }$
Explain The concept of a Connection in Differential Geometry and its association to Field Theory in (Physics).

Also explain the theory.
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Answer 1

In geometry, the notion of a connection makes precise the idea of transporting data along a curve or family of curves in a parallel and consistent manner.Differential geometry embraces several variations on the connection theme, which fall into two major groups: the infinitesimal and the local theory.

Answer 2

$\sf{Answer}$

In geometry, the notion of a connection makes precise the idea of transporting data along a curve or family of curves in a parallel and consistent manner. ... Differential geometry embraces several variations on the connection theme, which fall into two major groups: the infinitesimal and the local theory.

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