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Results tagged with dg.differential-geometry
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user 147463
Complex, contact, Riemannian, pseudo-Riemannian and Finsler geometry, relativity, gauge theory, global analysis.
0
votes
0
answers
97
views
Genes mirror geography on a torus?
Disclaimer: this is an open-ended, imprecise question, asking for speculation in a topic that I know relatively little about (random matrix theory and principal component analysis). I originally asked …
- 1,225
2
votes
1
answer
272
views
Completeness on the tangent bundle
I was wondering if geodesics are defined for all time on compact Finsler manifolds, or more generally, for any spray on a compact manifold (where by geodesics, I simply mean the integral curves of the …
- 1,225
1
vote
Accepted
Completeness on the tangent bundle
These answers are primarily due to Juan Carlos Álvarez-Paiva's comments. I'm just recounting them:
If $(M,g)$ is a complete, then $TM$ is also complete under the Sasaki metric, as shown here.
Not ev …
- 1,225
7
votes
Accepted
Odd differential forms
A form of odd type is the same thing as a pseudoform, as mentioned by Mike Shulman. This is a form twisted by the pseudo-scalar bundle $\Psi$. The issue with the term "density" is that it has multiple …
- 1,225