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Results tagged with dg.differential-geometry
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user 7780
Complex, contact, Riemannian, pseudo-Riemannian and Finsler geometry, relativity, gauge theory, global analysis.
22
votes
5
answers
5k
views
On the generalized Gauss-Bonnet theorem
I am trying to learn about basic characteristic classes and Generalized Gauss-Bonnet Theorem, and my main reference at the moment is From calculus to cohomology by Madsen & Tornehave. I know the state …
- 1,719
7
votes
1
answer
826
views
Curvature and Riemannian metric
Hi all,
I am going to give a talk in a seminar about the general theme 'sum of squares'. My interests lie in Differential Geometry, so I recalled that the curvature is a local invariant, an obstructi …
- 1,719
6
votes
2
answers
4k
views
Killing vectors and Ricci Tensor
Hi all,
We all know that the lie derivative of the metric tensor along a Killing Vector vanishes, by definition. I am trying to show that the Lie derivative of the Ricci tensor along a Killing vector …
- 1,719