# Volume forms

• Nov 8th 2012, 11:43 AM
ModusPonens
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 \$\displaystyle w(0,v_2,...,v_n)=0\$
• Nov 8th 2012, 12:32 PM
xxp9
Re: Volume forms
in a local chart \$\displaystyle (x^1, ..., x^n)\$ the form can be expressed as \$\displaystyle f dx^1 \wedge ... \wedge dx^n\$ where f never vanishes in the chart.
• Nov 19th 2012, 07:36 PM
wallisonline
Re: Volume forms
How do you find the volume in Calculus problem?

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• Nov 22nd 2012, 06:51 AM
HallsofIvy
Re: Volume forms
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• Dec 6th 2012, 08:33 PM
babynancy543
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.

???