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Results tagged with dg.differential-geometry
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user 39404
Complex, contact, Riemannian, pseudo-Riemannian and Finsler geometry, relativity, gauge theory, global analysis.
0
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0
answers
69
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Cohomology operators inducing local basis of $1-$forms
Suppose that $\partial$ is a non-trivial ($\partial \neq 0$) cohomology operator on an $m-$dimensional manifold $M$ (that is: $\partial:\Omega(M)\to\Omega(M)$ is a degree $1$ derivation such that $\pa …
- 153
4
votes
2
answers
541
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Existence of connections making a bundle endomorphism parallel
Let $M$ be a manifold, $TM$ its tangent bundle, and $N:TM\to TM$ a vector bundle morphism. It is possible to find a torsionless linear connection $\nabla$ on $TM$ such that $\nabla N=0$?
- 4,787
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Why do we use the less simple convention for the definition of a vector bundle connection?
The "usual" definition tantamounts to saying that $[\nabla, \omega ]=d\omega$, where $[,]$ is the (graded) commutator of (graded) endomorphisms.
- 153