Definition:Anti-Self-Dual 2-Form
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Definition
Let $M$ be a $4$-dimensional oriented Riemannian manifold.
Let $\omega$ be a $2$-form on $M$.
Let $*$ be the Hodge star operator.
Suppose:
- $* \omega = -\omega$
Then $\omega$ is known as the anti-self-dual $2$-form.
Sources
- 2018: John M. Lee: Introduction to Riemannian Manifolds (2nd ed.) ... (previous) ... (next): $\S 2$: Riemannian Metrics. Problems