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Results tagged with dg.differential-geometry
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user 2530
Complex, contact, Riemannian, pseudo-Riemannian and Finsler geometry, relativity, gauge theory, global analysis.
1
vote
Lie group operation and tangent vectors
EDIT: Wrong.
Forgive me my naiveté (and my spelling), but I think that on a small enough chart around $e$, we can actually subtract elements of $G$, and we have
$\displaystyle \left(\alpha\beta\righ …
- 33.8k
1
vote
Accepted
Invariant characterization of isometric embeddings
Here is a proof of $\left( \ast\ast\right) $. As you correctly admitted,
part of the problem is to define the signs that enter into
$\operatorname*{Cof}A$. Let me actually start from scratch and int …
1
vote
Rolle's theorem in n dimensions
EDIT: The following solution is incomplete. We need to make sure that if $F^{\prime}\left(t\right)$, $F^{\prime\prime}\left(t\right)$, ..., $F^{\left(n-1\right)}\left(t\right)$ are linearly dependent …
- 33.8k
6
votes
The action of $GL_{\infty}$ on the infinite wedge space
$Av_0 \wedge Av_{-1} \wedge Av_{-2} \wedge \cdots$ does make sense, but it cannot be "multiplied out" in finitely many steps, so the usual definition does not work. Instead, one needs to define semiin …
- 33.8k
5
votes
Accepted
Expansions of iterated, or nested, derivatives, or vectors--conjectured matrix computation
I have finally written up the proof in detail. It is in my note
Darij Grinberg, Commutators, matrices and an identity of Copeland, also available as arXiv:1908.09179v1.
Your result is a particular …
- 33.8k