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Can tensor packages do this...

  • To: mathgroup at smc.vnet.net
  • Subject: [mg112713] Can tensor packages do this...
  • From: Sam Takoy <sam.takoy at yahoo.com>
  • Date: Tue, 28 Sep 2010 06:03:26 -0400 (EDT)

Hi,

Is there a tensor package that performs symbolic tensor operations. What 
I have found so far is packages that, given a tensor expression, will 
evaluate it for a particular surfaces. But I am looking for something 
else. I can't describe it, but I can give an example.

I'm looking for a package that can start with the LHS of the following 
expression and arrive at the RHS:


$N^{i}N^{j}\nabla _{i}\nabla _{j}\psi =\nabla _{i}\nabla ^{i}\psi 
-\nabla ^{\alpha }\nabla _{\alpha }\psi +B_{\alpha }^{\alpha 
}N^{i}\nabla _{i}\psi $

N^{i} is the normal, B_{\alpha }^{\alpha } is mean curvature, nabla _{j} 
is the covariant derivative on the surface.

Many thanks!

Sam


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