Chapter 3
Push-forwards and Pull-backs in 
Abstract
In this chapter we first consider the notion of push-forwards of tangent vectors in 
. Having done so we can then consider the closely allied notion of pull-backs of differential forms on 
. We show how to compute push-forwards and pull-backs. We prove that exterior multiplication commutes with pull-backs, and that exterior differentiation commutes with pull-backs, these two properties playing a fundamental ...
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