I have a 3x3 tensor(adsbygoogle = window.adsbygoogle || []).push({}); Tthat represents the tension of a surface. I need to calculate the surface divergence of this tensor. The surface is defined explicitly by the surface parametersuandv, as are the elements ofT. I have looked in a few differential geometry texts and I cannot seem to find a definition for the surface divergence of a tensor I can apply. The fact thatTis an order 2, rank 3 tensor and that the surface metric tensor is an order 2, rank 2 tensor, leaves me confused on how to apply any of the definitions of divergence I have found (for example here: http://en.wikipedia.org/wiki/Laplace-Beltrami_operator" [Broken], where the divergence of a vectorXis defined). Any help is much appreciated!

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# Surface divergence of an order 2, rank 3 tensor

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