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I have never heard the term tensorial form before. Is there a reference? I've heard them called horizontal, equivariant differential forms (referring to the two main points in the definition), or basic forms for short. Geometry guy 01:12, 20 February 2007 (UTC) reply

I took the term tensorial form from Kobayashi and Nomizu, Foundations of Differential Geometry, Vol. 1, p.75. Granted that text is a little dated. If these things go by different names now, I have no opposition to changing it. -- Fropuff 01:33, 20 February 2007 (UTC) reply

How about some mention of this, with mention of relevant theorems? 98.240.195.23 ( talk) 16:58, 23 December 2011 (UTC) reply