Luis Hernández–Corbato, Lucía Martín‐Merchán, Francisco Presas
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 $C^0$--small positive loops of contactomorphisms in general overtwisted manifolds is shown as a corollary.
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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 $C^0$--small positive loops of contactomorphisms in general overtwisted manifolds is shown as a corollary.
Key concepts: Corollary, Submanifold, Mathematics, Pure mathematics, Bundle, Normal bundle, Mathematical analysis, Materials science