The curl of a Tensor field is given by
is the Levi-Civita Tensor and ``;'' is the Covariant Derivative. For a Vector
Field, the curl is denoted
is normal to the Plane in which the ``circulation'' is Maximum. Its magnitude is the
limiting value of circulation per unit Area,
Special cases of the curl formulas above can be given for Curvilinear Coordinates.
See also Curl Theorem, Divergence, Gradient, Vector Derivative
Arfken, G. ``Curl, .'' §1.8 in
Mathematical Methods for Physicists, 3rd ed. Orlando, FL: Academic Press, pp. 42-47, 1985.
© 1996-9 Eric W. Weisstein