Talk:Moving frame
Add topicLatest comment: 7 years ago by 67.198.37.16 in topic Basis of tangent space
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Basis of tangent space
[edit]A frame is nothing other than a basis for a tangent space. A moving frame is just a set of sections of the tangent bundle which form a basis in each tangent space. --MarSch 12:41, 14 October 2005 (UTC)
- Yes. It's just a section of the GL-principal bundle. But the method of moving frames is a bit more than that. Charles Matthews 12:46, 14 October 2005 (UTC)
- Yes, and it should come out and say this. Because, unfortunately, smooth frame redirects to here, and it is NOT the same thing: a smooth frame is a smooth basis on an arbitrary vector bundle, rather than on the tangent bundle. To add to the confusion, there is the concept of a smooth atlas, which is like an atlas (topology) but smooth. None of these artciles, as far as I can tell, define what a local smooth atlas on a generic vector bundle is. :-( Its a bit of a mess, a hodge-podge of stuff. 67.198.37.16 (talk) 04:24, 24 October 2016 (UTC)
- This article does not currently talk about the "method of moving frames". More robust articles are Cartan connection and Frame bundle, which provide complete, coherent definitions and discussions. This article seems to be trying to provide a "simple" introduction; since better, more advanced articles exist, maybe this one could be simplified? 67.198.37.16 (talk) 21:23, 2 May 2019 (UTC)
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[edit]This article was automatically assessed because at least one WikiProject had rated the article as start, and the rating on other projects was brought up to start class. BetacommandBot 10:00, 10 November 2007 (UTC)