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Re: Q: tensor field operators inc, div, def

  • To: mathgroup at smc.vnet.net
  • Subject: [mg2066] Re: Q: tensor field operators inc, div, def
  • From: "John M. Lee" <lee at math.washington.edu>
  • Date: Sat, 23 Sep 1995 20:34:53 -0400
  • Organization: University of Washington Department of Mathematics

u7f01bf at sun2.lrz-muenchen.de () wrote:

>
>Who knows how to define the opreators def(u), inc(b),
>div(b), u beeing a vector field, b beeing a tensor field?
>
>inc b = \nabla x b x \nabla  or
>
>(inc b)_{nm} = e_{mki} e_{nlj} d_{k} d_{l} b_{ij},e_{mki} beeing
>
>the totally antisymmetric unit tensor.
>          
>
>div a_{ij} = d_{i} a{ij}
>
>def u_{i}  = d_{j} u_{i}
>
>I tried to copy the <<Calculus`VectorAnalysis` syntax, but 
>it didn't work.
>
>Thanks in advance
>
>Alexander Unzicker
>
>sascha at space.imp.med.uni-muenchen.de
>u7f01bf at sunmail.lrz-muenchen.de 

You might try my Ricci tensor analysis package.  See 
 
   http://www.math.washington.edu/~lee/Ricci/ 

for more information.

Jack Lee
==============================================================================
John M. Lee                    WWW:    http://www.math.washington.edu/~lee/
Univ of Washington Math Dept   E-mail: lee at math.washington.edu
Box 354350                     Phone:  206-543-1735
Seattle, WA 98195-4350         Fax:    206-543-0397
==============================================================================



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