A vector field 
for which the curl vanishes,
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Irrotational Field
See also
Beltrami Field, Conservative Field, Poincaré's Theorem, Solenoidal Field, Vector FieldExplore with Wolfram|Alpha
Cite this as:
Weisstein, Eric W. "Irrotational Field." From MathWorld--A Wolfram Web Resource. https://mathworld.wolfram.com/IrrotationalField.html