Re: Christoffel instead of Riemann
From: Dirk Van de moortel (dirkvandemoortel_at_ThankS-NO-SperM.hotmail.com)
Date: 07/18/04
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Date: Sun, 18 Jul 2004 15:45:39 GMT
"Edward Green" <spamspamspam3@netzero.com> wrote in message news:eca320d0.0407180710.2a9ad412@posting.google.com...
> "Dirk Van de moortel" <dirkvandemoortel@ThankS-NO-SperM.hotmail.com> wrote in message
news:<WbdKc.187777$RW5.8988809@phobos.telenet-ops.be>...
> > "Edward Green" <spamspamspam3@netzero.com> wrote in message news:eca320d0.0407170857.c36401f@posting.google.com...
> > > Doug Sweetser <sweetser@alum.mit.edu> wrote in message news:<cd9qjc$635$1@pcls4.std.com>...
> > >
> > > Since you cast your pearl before swine, may I ask two too simple questions...
> > >
> > > > A^mu_;nu = A^mu_,nu + L^w mu_nu A_w =~ A^mu_,nu
> > >
> > > What is the difference between a semicolon and a comma here?
> >
> > Comma is partial derivative
> > http://mathworld.wolfram.com/CommaDerivative.html
> > Semicolon is covariant derivative
> > http://mathworld.wolfram.com/CovariantDerivative.html
> >
> > >
> > > > R^a_bcd = L^a_bd,c - L^a_bc,d + L^a_uc L^c_bd - L^a_ud L^u_bc 8.44
> > >
> > > What is L?
> >
> > L is the horizontally mirrored ASCII-version of the capital Gamma
> > (Christoffel symbol of the second kind). See
> > http://mathworld.wolfram.com/ChristoffelSymboloftheSecondKind.html
> > The above equation is equation (5) on
> > http://mathworld.wolfram.com/RiemannTensor.html
>
> Thank you, thank you, thank you.
>
> > Edward, just puzzled and wondering a bit...
> > are you by any chance the Ed Green of
> > http://math.ucr.edu/home/baez/gr/oz7.html
> > ?
>
> Yes; or at least I am the individual upon whom that Ed Green's
> exploits were based, however loosely.
It's been a while now... I really enjoyed these exploits and I
had been wondering about the cast.
> As you can see, I've made great
> progress in GR since those days when I dabbled with JB, since I'm
> still asking about the meaning of standard symbols. ;-)
Well, actually this isn't GR but merely differential geometry,
not the most accessible backroom of mathematics indeed :-)
Dirk Vdm
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