Could someone help me out ??(adsbygoogle = window.adsbygoogle || []).push({});

I tried this integration over the surface of a sphere of unit radii,

[tex]\[

P_{mn}e_{m}\otimes e_{n}=\frac{1}{D_{pq}e_{p}\otimes e_{q}}\int e_{m}\otimes e_{n}dS_{r=1}\][/tex]

and I always get [tex]\[

4\pi e_{m}\otimes e_{n}\][/tex] and the 'D' tensor as it is..

I am expecting additionally a '3' in the denominator, am I wrong ??? If i do the integration over unit volume then I get the 3 in the denominator. Sorry for sounding stupid but is there a necessity to consider the unit tensor, i just assume it as a constant under integration.

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# Tensor Integration

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