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3
questions
4
votes
1
answer
291
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Divergence operator of higher order and intrinsic point of view
Let $\underline{u}$ be a $1$ - order tensor (say a column vector) I want to prove that :
$\underline{\operatorname{div}} \left( (\underline{\underline{\operatorname{grad}}} \, \underline{u})^T\...
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2
votes
1
answer
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Covariant derivative for a covector field
In the lecture we had the immersion $f: U \subset \mathbb{R}^2 \rightarrow \mathbb{R}^3$.
Now we said that a map $\lambda : U \rightarrow T^*f$ is a covector field. Okay, that's fine.
Also, we ...
user159356
0
votes
1
answer
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Prove: ∇⋅ϕF = ϕ∇⋅F + F⋅∇ϕ
I am asked to prove this identity using tensor notation. However, I am not sure where to even begin the problem.
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