Re: Levi-Civita Symbol

On 31 May, 17:51, Igor <thoov...@xxxxxxxxxx> wrote:
On May 31, 9:56 am, "Christopher J. Henrich" <chenr...@xxxxxxxxxxxx>
wrote:



In article <wood-3105070643290...@xxxxxxxxxxxxxxxxxxxxxxxx>, J. B. Wood

<w...@xxxxxxxxxxxxxxxx> wrote:
Hello, all. My question: Is the subject symbol a tensor or not? Several
presumably authoritative references I have on tensor analysis seem to
disagree on this. Sincerely,

The thingamajig with three indices? Based on combining first
derivatives of the metric tensor? It definitely is not a tensor,
though it does arise in the theory of "tensor analysis."

One of the many good books on the subject is /Tensor/ /Analysis/, by
Synge and Schild. It's reprinted by Dover publications.

--
Chris Henrichhttp://www.mathinteract.com
The total lack of evidence is the surest sign that the conspiracy is working.

It sounds like you're confusing it with the Christoffel symbols,
otherwise known as affine connections.

Hmm... I was under the impression that the Levi-Civita symbol was just
the Christoffel symbol associated to the unique torsion-free metric-
compatible connection. Perhaps usage differs.

-Rotwang

.

Relevant Pages

  • Re: Is charge conserved between frames?
    ... >> It is not a rank one tensor. ... >of tensor analysis is. ... >> You're arguement is like pmb's argument that energy is invariant. ... >Yet another lie from the lying weasle davy waite. ...
    (sci.physics.relativity)
  • Re: Levi-Civita Symbol
    ... presumably authoritative references I have on tensor analysis seem to ... otherwise known as affine connections. ... the Christoffel symbol associated to the unique torsion-free metric- ...
    (sci.math)
  • Re: Levi-Civita Symbol
    ... presumably authoritative references I have on tensor analysis seem to ... I was under the impression that the Levi-Civita symbol was just ... the Christoffel symbol associated to the unique torsion-free metric- ...
    (sci.math)
  • Re: Levi-Civita Symbol
    ... presumably authoritative references I have on tensor analysis seem to ... Based on combining first ... derivatives of the metric tensor? ...
    (sci.math)
  • Re: Levi-Civita Symbol
    ... presumably authoritative references I have on tensor analysis seem to ... disagree on this. ... The thingamajig with three indices? ...
    (sci.math)