Talk:Conservative vector field

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[edit] irrotational implies gradient

The article claims "Since there is an identity of vector calculus which states that the curl of any gradient is zero [...], it follows that any irrotational field can be expressed as the gradient of a scalar potential [...]." This argument seems bogus. We would only get that gradient vector fields are irrotational. --Jochen 22:25, 6 November 2005 (UTC)

I changed it.--Patrick 23:53, 6 November 2005 (UTC)

Maybe the fact that the domain must be convex for it to be conservative should be included?