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Results tagged with dg.differential-geometry
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user 496509
Complex, contact, Riemannian, pseudo-Riemannian and Finsler geometry, relativity, gauge theory, global analysis.
14
votes
2
answers
611
views
Variation of the Einstein Hilbert action in a coordinate-free way
I am currently writing an expository paper on gauge theory and gravity and throughout the gauge theory part I have been able to mostly stay away from coordinates unless I wished to
provide specific ex …
- 391
2
votes
1
answer
251
views
Necessary and sufficient conditions for pseudo Riemannian manifold to be time orientable
It is well known that a smooth manifold $M$ is orientable if the first Stiefel-Whitney class of the tangent bundle vanishes. In particular, this implies that if $M$ is equipped with a pseudo-Riemannia …
- 391
3
votes
1
answer
344
views
Existence (or non existence) of principal bundle charts compatible with an $f$-reduction
I asked this question on math stack exchange here, but I wonder if it would be better received here.
Let $\pi:P\rightarrow M$ and $\pi':P'\rightarrow M$ be principal $G$ and $H$ bundles respectively, …
- 391