Definition:Differential Form
Jump to navigation
Jump to search
This article, or a section of it, needs explaining, namely:
What has this to do with differentials? In other words: can the language of this be tightened up?
You can help $\mathsf{Pr} \infty \mathsf{fWiki}$ by explaining it. To discuss this point in more detail, feel free to use the talk page.
This article needs to be linked to other articles.
You can help $\mathsf{Pr} \infty \mathsf{fWiki}$ by adding these links.
Definition
Let $X$ be a smooth manifold.
Let $\map {T_x} X$ denotes the tangent space of $X$.
A $p$-form on $X$ is a function $\omega: \map {T_x} X^p \to \R$ defined at each point of $X$ which takes $p$ vectors as inputs, and outputs a real number.
What has this to do with differentials? In other words: can the language of this be tightened up?
You can help $\mathsf{Pr} \infty \mathsf{fWiki}$ by explaining it. To discuss this point in more detail, feel free to use the talk page.
If you are able to explain it, then when you have done so you can remove this instance of {{Explain}} from the code.
You can help $\mathsf{Pr} \infty \mathsf{fWiki}$ by adding these links.
To discuss this in more detail, feel free to use the talk page.
Once you have done so, you can remove this instance of {{MissingLinks}} from the code.
