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Tight Beltrami fields with symmetry

R. Komendarczyk
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Abstract

Let $M$ be a compact orientable Seifered fibered 3-manifold without a boundary, and $α$ an $S^1$-invariant contact form on $M$. In a suitable adapted Riemannian metric to $α$, we provide a bound for the volume $\text{Vol}(M)$ and the curvature, which implies the universal tightness of the contact structure $ξ=\kerα$.

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R. Komendarczyk. 2008-08-11. Tight Beltrami fields with symmetry. https://doi.org/10.1007/s10711-008-9258-9

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