Talk:Differential geometry

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 Field:  Geometry

where to put stuff?Edit

Tosha suggests that this article is not the right place to talk about vectors as derivations or bundles and their sections. But it seems that there is nowhere with a sophsiticated discussion of vector fields. we need one. but where? - Lethe 00:10, Jul 17, 2004 (UTC)

I simply think that good discussion vector fields sould be in vector field, but it is totally ok to mention it here. Tosha

Yet an other pace is tangent space Tosha 20:34, 19 Jul 2004 (UTC)


This claims that if an area preserving map of a ring twists each boundary component in opposite directions,
 then the map has at least two fixed points.

Umm, like a diamond ring? Why can't the word "cylindar" be used, if that's what is meant??

There is no history on the development of the subjectEdit

I find no history on the development of the subject of differential geometry, of curves and manifolds. A cursory history won't suffice: only a detailed history may do justice to the subject.

It needs to cover everything, even the minor nuances. Detailed bibliography is also required in support of key sentences and comments. Would like to help develop this section if a bibliography list is provided. Bkpsusmitaa (talk) 03:32, 3 August 2015 (UTC)

I don't agree that ANY article in a encyclopedia should EVER "cover everything". First: it is logically impossible. Second: writing must target its audience. At the two ends of the knowledge spectrum, a reader with no differential calculus nor topological knowledge will find specialist writing incomprehensible and the specialist will find the necessarily crude and imprecise language used for the lay public almost useless. Both will be frustrated.(Sorry, if I'm stating the obvious, but it seems it needed to be stated.) Third: history of a subject is at most a minor part of the information about a subject (except, of course historical subjects). This article (as of Feb 1, 2016) is certainly NOT detailed, and it follows that its history sub-section should be the same in that regard. (talk) 16:30, 1 February 2016 (UTC)

First figureEdit

The caption for the first figure (as of Feb 1, 2016 it shows a hyperbolic triangle embedded in a hyperbolic plane) uses two terms which I think ought to be replaced: 1) it uses "plane" when the figure clearly is not a (euclidean) plane. While the modifier "hyperbolic" could be added, I suggest it would be better to substitute the word "surface" here. 2) it uses the word "immersed"; I've never seen that useage; the word suggests - to me - a depth that a surface does not possess. The better word is clearly "embedded". If the editors agree, please make the changes. (talk) 16:39, 1 February 2016 (UTC)

Assessment commentEdit

The comment(s) below were originally left at Talk:Differential geometry/Comments, and are posted here for posterity. Following several discussions in past years, these subpages are now deprecated. The comments may be irrelevant or outdated; if so, please feel free to remove this section.

"Intrinsic versus extrinsic" section needs expansion; needs more on history and examples. Consider splitting article into Differential geometry and Differential topology, failing that, more material on Differential topology needed. Tompw (talk) 20:10, 1 March 2007 (UTC)

Recommend splitting into into Differential geometry and Differential topology, with an overview, and non-technical introduction here. More material on Differential topology is certainly needed anyway. Geometry guy 18:31, 14 April 2007 (UTC)

Split. I agree that what remains should be a gentle introduction to both fields. In addition, perhaps some modest technical details about the overlap and differences (in general terms) should also be included here. Silly rabbit 17:39, 26 April 2007 (UTC)

Substituted at 21:39, 26 June 2016 (UTC)

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