A bound for the radius of a tight ball in a contact metric 3-manifold
Joint work with Rafal Komendarczyk.
Preprint 2009

We establish a bound for the radius of a tight ball in a, not necessarily closed, contact 3-manifold $(M^3,\xi).$ The bound is calculated with respect to a Riemannian metric $g$ compatible with an associated contact form $\alpha$ and an almost complex structure on $\xi$ (see \cite{Blair02, ChernHamilton85}). We also consider a weaker form of compatibility and derive similar bounds in this context. In particular we give a Riemannian geometric condition that implies a contact structure is universally tight.

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