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From: Mikko <mikko.levanto@iki.fi>
Newsgroups: sci.physics.research
Subject: Re: The momentum - a cotangent vector?
Date: Thu, 08 Aug 2024 21:15:43 PDT
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Approved: Jonathan Thornburg [remove -color to reply]" <dr.j.thornburg@gmail-pink.com (sci.physics.research)
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On 2024-08-07 11:37:02 +0000, the moderator said:

> I think Stefan is using "tangent vector" and "cotangent vector"
> in the sense of differential geometry and tensor calculus.  In
> this usage, these phrases describe how a vector (a.k.a a rank-1
> tensor) transforms under a change of coordintes: a tangent vector
> (a.k.a a "contravariant vector") is a vector which transforms the
> same way a coordinate position $x^i$ does, while a cotangent vector
> (a.k.a a "covariant vector") is a vector which transforms the same
> way a partial derivative operator $\partial / \partial x^i$ does.

Thank you. That makes sense.

--=20
Mikko