安裝中文字典英文字典辭典工具!
安裝中文字典英文字典辭典工具!
|
- Definition of pullback. - Mathematics Stack Exchange
Concerning the difference between the pull-back of a vector field (page 134 of Guillemin and Pollack) and the pull-back of a differential form (page of 163 Guillemin and Pollack)
- How to calculate the pullback of a $k$-form explicitly
CAVEAT: we can always pullback differential forms, but only pushforward vectors (and not vector fields, unless $\alpha$ is a diffeomorphism (which is obviously not the case here)) See wikipedia, pushforward for further details
- terminology - What is the intuition behind pushouts and pullbacks in . . .
E g , the set of solutions to any equation in two unknowns, such as $3x + 2 = y$, is obtained by pullback; Relations are essentially spans and then relation composition is given by pullback; characteristic predicate for sets make certain squares pullback, and that condition is used to specify characteristic arrows and truth-objects in general
- Pullback in the category of graphs - Mathematics Stack Exchange
Pullbacks form intersections of subobjects That is, the pullback [above] is obtained by forming the ‘intersection’ [loosely, as discussed below] of vertices, and keeping whatever edges that are in the intersection
- understanding how to define pullback of differential forms
After a bit of back and forth in the comments I have decided to write an extended discussion here The coordinate free way to describe the pull back of forms is to think of it as the dual to the differential
- Intuition about pullbacks in differential geometry
Stack Exchange Network Stack Exchange network consists of 183 Q A communities including Stack Overflow, the largest, most trusted online community for developers to learn, share their knowledge, and build their careers
- What is a pullback of a metric, and how does it work?
This post is over 4 years old by now, so I'm guessing the OP has moved on with their life But seeing as this post was the first result when I googled "pullback metric", and it has amassed over 8k views, I figure an answer may still be useful to someone else
- Pullbacks commute with the exterior derivative
I am trying to show by induction that pullbacks and the exterior derivative commute I know that this question has been discussed on this site, eg here and here However, none of these questions e
|
|
|