(1) Department of Mathematics, University of Pennsylvania, Philadelphia, PA, USA
Abstract:
Let M be a compact orientable Seifered fibered 3-manifold without a boundary, and α an S1-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.