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Math Help - Does this expression make any sense? Determinant and Tangentspace.

  1. #1
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    Does this expression make any sense? Determinant and Tangentspace.

    Hello,

    We have an abstract manifold M and a chart x.
    A student (friend) is writing  det(\delta_1 x_p,..,\delta_n x_p)=... .
    whereas the det should be a determinant and \delta_i x_p the basis vectors of T_p M induced by the chart.

    I cann't see any sense in it. Maybe it is senseless. But maybe he uses some identifications (e.g. with some coefficients) or something like that.

    What do you think?

    Regards
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  2. #2
    Super Member Rebesques's Avatar
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    Re: Does this expression make any sense? Determinant and Tangentspace.

    Remember that the determinant is, up to constant multiples, the only dim(M)-form.
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