Subject: Covariant vs Absolute Derivative
From: (Gauge)
Date: 9/1/2003 12:15 PM US Mountain Standard Time
Message-id:

(WaiteDavid137) wrote in message
...
"Pmb" wrote in message
...
That's not covariant derivative Ken. That's an absolute derivative.


[waite claims]
Your argument that the covariant derivative is not covariant is blatantly
wrong.


You're really confused about this waite. The term "covariant derivative"
is
the name of a particular TYPE of derivative.

It refers to the covariant type. Just as there is a "total" derivative and
a
"partial" derivative, there is a "covariant total" derivative and a
"covariant
partial" derivative. They are both frame covariant derivative operations
and
your claim that the covariant total derivative which you call absolute
derivative is not a covariant derivative is bogus. It is every bit as much
a
covaraint derivative as the covariant partial derivative. You are the one
that
is confused. Take a close look at equations
4.4.7 and 4.4.8
http://www.geocities.com/zcphysicsms/chap4.htm#BM49


And I never said that the
absolute derivative was what you think I said

You said, "That's not covariant derivative Ken. That's an absolute derivative."
- exact quote.
"The absolute derivative" is a covariant derivative. Trolling me and lying
about what was said does not constitute a valid argument.