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Results tagged with dg.differential-geometry
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user 3901
Complex, contact, Riemannian, pseudo-Riemannian and Finsler geometry, relativity, gauge theory, global analysis.
0
votes
Are the stiefel-Whitney classes of the tangent bundle determined by the mod 2 cohomology?
There was a fundamental error in my answer.
The error was in misunderstanding the naturality of the $w_i$. $f: L \to N$ inducing an isomorphism in cohomology does not imply anything about the induced …
4
votes
Why should I prefer bundles to (surjective) submersions?
It probably won't matter which concept you use due to the theorem of Ehresmann. See: http://en.wikipedia.org/wiki/Ehresmann%27s_theorem
It states something like most surjective submersions are in fac …
- 3,726
18
votes
6
answers
7k
views
PDE on manifolds
I am currently in a PDE course where one of the requirements is to present a paper in PDE. I am wondering if anyone can suggest an early (read foundational, first introductory) paper talking about PDE …
- 3,726
35
votes
5
answers
4k
views
$G_2$ and Geometry
In a recent question Deane Yang mentioned the beautiful Riemannian geometry that comes up when looking at $G_2$. I am wondering if people could expand on the geometry related to the exceptional Lie Gr …
- 3,726
6
votes
Accepted
Categories of Geometry
There are a couple of subtle differences. Some of the concepts are only relevant when talking about geometry from an axiomatic perspective.
When one is talking about geometry from an axiomatic perspe …
- 3,726