# Math Help - Volume forms

1. ## Volume forms

Hello

I need help understanding something. A volume form is defined as being a non vanishing form in a manifold M. But I'm missing something here. Does it mean that the multilinear function is not null, does it mean that the coordinate functions never vanish or does it mean that the value of the multilinear function is never 0? The last one is impossible because $w(0,v_2,...,v_n)=0$

2. ## Re: Volume forms

in a local chart $(x^1, ..., x^n)$ the form can be expressed as $f dx^1 \wedge ... \wedge dx^n$ where f never vanishes in the chart.

3. ## Re: Volume forms

How do you find the volume in Calculus problem?

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4. ## Re: Volume forms

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5. ## Re: Volume forms

Find the volume formed by rotating the region enclosed by:

x=11y and y^3=x with y greater than or equal to 0 about the y-axis.

???