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Results tagged with differential-forms
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user 98733
A differential form $ \omega$ is a section of the exterior algebra $\Lambda^* T^* X$ of a cotangent bundle,
8
votes
1
answer
321
views
Condition on a differential form arising from the theory of elasticity
Let $D$ be the unit $n$-ball (for concreteness). Let $\beta\in\Omega^1(D;R^n)$ be an $R^n$-valued one-form, having full rank (viewed as a section of $T^*D\otimes R^n$). Under what conditions on $\beta …
- 797
5
votes
0
answers
108
views
On boundary-value problems for differential forms on a manifold
Let $M$ be a simply-connected $d$-dimensional Riemannian manifold with boundary (for simplicity assume a ball). Consider the boundary value problem for $\omega\in\Omega^k(M)$,
$$
d\omega = \alpha
\qqu …
- 797