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
November 8th 2012, 12:32 PM
Re: Volume forms
in a local chart the form can be expressed as where f never vanishes in the chart.