Re: Tensors for mathematicians

From: Shmuel (Seymour J.) Metz (spamtrap_at_library.lspace.org.invalid)
Date: 07/12/04 

Date: Mon, 12 Jul 2004 10:07:19 -0300

In <c3f2060d.0407111049.5d2d86a0@posting.google.com>, on 07/11/2004
   at 11:49 AM, jjensen14@hotmail.com (J Jensen) said:

>So what you are saying is that a tensor takes a base point x in the
>manifold M, and then is a multi-linear map of say n vectors from T_x
>M

Or, more generally, r vectors from T_x and s vectors from T^*_x.

>but bringing in the full machinery of GR

He wasn't talking about doing that; he was doing exactly what the OP
requested, giving an explanation oriented to mathematicians rather
than physicists. GR involves quite a bit more than just definig
tensors. 

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Shmuel (Seymour J.) Metz, SysProg and JOAT  <http://patriot.net/~shmuel>
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