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 Vol(M) and the curvature, which implies the universal tightness of the contact structure ξ = ker α.
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Komendarczyk, R. Tight Beltrami fields with symmetry. Geom Dedicata 134, 217–238 (2008). https://doi.org/10.1007/s10711-008-9258-9
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DOI: https://doi.org/10.1007/s10711-008-9258-9
Keywords
- Contact structures
- Beltrami fields
- Curl eigenfields
- Adapted metrics
- Nodal sets
- Characteristic hypersurface
- Dividing sets