Talk:Gauss–Bonnet theorem

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Mathematics grading:	Start Class	Mid Importance	Field: Geometry and topology
Needs illustrations, history, applications, examples. Tompw 19:25, 7 October 2006 (UTC) Needs citations to get to B class. Salix alba (talk) 10:14, 3 November 2006 (UTC)

I have started Pfaffian, so maybe someone can do Generalized Gauss-Bonet theorem??? Tosha 05:52, 16 Mar 2004 (UTC)

[edit] A and s

What is A and what is s in the formula?

A is a differential-2-form, which represents the "surface" of the manifold M. Simililarly, s is a one-form (also called Pfaffian form), which represents the border of M (which is one-dimensional).

[edit] Orientable?

Does the manifold really have to be orientable? AxelBoldt 01:07, 21 April 2006 (UTC)

I don't think so. AFAIK, it just must be able to be triangulated (to get the Euler characteristic), but other than that there are no requirements on the surface. cBuckley (Talk • Contribs) 17:37, 21 April 2006 (UTC)

The Russians also don't mention orientability [1], so I'll make the change. AxelBoldt 01:06, 23 April 2006 (UTC)