Title

Push-Forwards and Pull-Backs

Author First name, Last name, Institution

Jon Pierre Fortney

Document Type

Book Chapter

Source of Publication

A Visual Introduction to Differential Forms and Calculus on Manifolds

Publication Date

11-4-2018

Abstract

In this chapter we introduce two extremely important concepts, the push-forward of a vector and the pull-back of a differential form. In section one we take a close look at a simple change of coordinates and see what affect this change of coordinates has on the volume of the unit square. This allows us to motivate the push-forward of a vector in section two. Push-forwards of vectors allow us to move, or "push-forward," a vector from one manifold to another. In the case of coordinate changes the two manifolds are actually the same manifold, only equipped with different coordinate systems.

Publisher

Springer International Publishing

First Page

189

Last Page

228

Disciplines

Computer Sciences

Indexed in Scopus

no

Open Access

no

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