- #1
zwierz
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We have got a disagreement with fresh_42 in https://www.physicsforums.com/threa...vatives-part-ii-comments.908009/#post-5718965
So I would like to ask specialists in differential geometry for a comment
1) gradient of a function defined as follows $$\nabla f=\Big(\frac{\partial f}{\partial x^i}\Big)$$ is this a vector or covector?
I think it is a covector (1-form). Am I right?
2) the cross product of vectors ##\boldsymbol a\times\boldsymbol b##
is this a vector or pseudo vector?
I think it is a pseudo vector. Am I right?
So I would like to ask specialists in differential geometry for a comment
1) gradient of a function defined as follows $$\nabla f=\Big(\frac{\partial f}{\partial x^i}\Big)$$ is this a vector or covector?
I think it is a covector (1-form). Am I right?
2) the cross product of vectors ##\boldsymbol a\times\boldsymbol b##
is this a vector or pseudo vector?
I think it is a pseudo vector. Am I right?
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