Tight neighborhoods of contact submanifolds

2018/02/20 by Hernández-Corbato, Luis, Martín-Merchán, Lucía, Presas, Francisco
#FOS: Mathematics #Symplectic Geometry (math.SG)

paper · doi:10.48550/arxiv.1802.07006

Abstract

We prove that any small enough neighborhood of a closed contact submanifold is always tight under a mild assumption on its normal bundle. The non-existence of C⁰--small positive loops of contactomorphisms in general overtwisted manifolds is shown as a corollary.

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