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general Stokes theorem

(Theorem)

Let be an oriented -dimensional differentiable manifold with a piecewise differentiable boundary $\partial M$ . Further, let $\partial M$ have the orientation induced by . If $\omega$ is an -form on with compact support, whose components have continuous first partial derivatives in any coordinate chart, then

$\displaystyle \int_M \mathrm{d}\omega = \int_{\partial M} \omega.$

"general Stokes theorem" is owned by matte. [ full author list (2) | owner history (1) ]

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Other names:

Stokes theorem

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58C35 (Global analysis, analysis on manifolds :: Calculus on manifolds; nonlinear operators :: Integration on manifolds; measures on manifolds)

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