Re: [Maxima-discuss] Tensor question

[Daniel V. <dan...@ya...>]

Hi All,
Could somebody help here?
Thanks,
Daniel
 

    El Sábado 10 de junio de 2017 2:36, Daniel Volinski via Maxima-discuss <max...@li...> escribió:
 

 Hi All,
Should the covariant derivative of a (covariant or contravariant) basis vector be zero?
Consider the following code:
load(itensor)$load(ctensor)$ct_coords:[rho,theta,z]$dim:length(ct_coords)$ldisplay(R:[rho*cos(theta),rho*sin(theta),z])$ct_coordsys(append(R,[ct_coords]),all)$ishow(Eq:Q([j,i],[])=subst([%1=m],rename(covdiff(Z([j],[]),i))))$Eq:ic_convert(Eq);ldisplay(Z:diff(R,ct_coords[1]))$Q:zeromatrix(dim,dim)$ev(Eq)$ldisplay(Q:factor(trigsimp(Q)))$
I think that this code calculates the covariant derivative of one of the covariant basis vectors in cylindrical coordinates, but I don't get zero.
Please help.
Daniel Volinski.
------------------------------------------------------------------------------
Check out the vibrant tech community on one of the world's most
engaging tech sites, Slashdot.org! http://sdm.link/slashdot_______________________________________________
Maxima-discuss mailing list
Max...@li...
https://lists.sourceforge.net/lists/listinfo/maxima-discuss