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How to calculate covariant derivative by Mathematica?

• To: mathgroup at smc.vnet.net
• Subject: [mg106778] How to calculate covariant derivative by Mathematica?
• From: Shen <zshen2002 at yahoo.com>
• Date: Sat, 23 Jan 2010 07:33:15 -0500 (EST)

I need to calculate covariant derivative by Mathematica. I noticed
that there is no such a function in Mathematica. Can we define such a
funcation? I don't know how to do it. Who can tell me how to define
and calculate covariant derivative with Mathematica?