Could someone help me understand the following please?
Like some previous mailing list posters I am working through Schaum's 'Tensor Calculus' (TC) by David Kay.
Without Maxima to remove some of the algebraic grind I would not have got as far as I have.
When I got to Example 8.4 on page 103 I typed in the following to check the example:-
load(ctensor);
lg:matrix(
?[1,0,0],
?[0,2*x1,0],
?[0,0,2*x2]
);
ct_coords:[x1,x2,x3];
dim: 3;
cmetric();
christof(all);
/* The Christoff symbols matched those in TC */
riemann(true);
This is where things seem to go a bit awry...
The riemann tensor components returned by Maxima do not match those in TC and also TC claims that for 3 dimensions there are only 6 independant components whereas Maxima returns 8!
Any clarification would be gratefully received.
Regards, Rob.
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