I'm curious if I have a function $f$ and another function $g$. And I have the condition
$$gdf = 0$$
where $df$ is the exterior derivative of $f$ and $g \ne 0$.
Does that imply that it must necessarily be the case that $$f = Constant$$
I'm curious if I have a function $f$ and another function $g$. And I have the condition
$$gdf = 0$$
where $df$ is the exterior derivative of $f$ and $g \ne 0$.
Does that imply that it must necessarily be the case that $$f = Constant$$
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