Push-Forwards and Pull-Backs
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.
DOI Link
Publisher
Springer International Publishing
First Page
189
Last Page
228
Disciplines
Computer Sciences
Recommended Citation
Fortney, Jon Pierre, "Push-Forwards and Pull-Backs" (2018). All Works. 2851.
https://zuscholars.zu.ac.ae/works/2851
Indexed in Scopus
no
Open Access
no