# Divergent on $M^ n$-Submanifolds of $R^{n+p}$

I was reading a proof (I won't tell by who 'cause I don't if it is true) the author come up with

$\int_M \exp (-|x|^2) Div_M(\nabla _V V)^T=\int_M \exp (-|x|^2) <\nabla _V V,x^T>$

where $V$ is normal to $M$ and $\nabla$ is with respect to $R^{n+p}$. Can anyone prove or disprove that?

PS:Where $x$ is the position vector vector in $R^{n+p}$ and $T$ is stands for the tangent part with relation to $M$.

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 Dear checkmath, what is $H$? – Giuseppe Nov 6 '12 at 8:10