Re: Christoffel instead of Riemann

From: Dirk Van de moortel (dirkvandemoortel_at_ThankS-NO-SperM.hotmail.com)
Date: 07/17/04 

Date: Sat, 17 Jul 2004 17:18:46 GMT

"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

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
?

Dirk Vdm

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