Gromov's alternative, contact shape, and C^0-rigidity of contact diffeomorphisms

Published 2 Oct 2013 in math.SG | (1310.0527v1)

Abstract: We prove that the group of contact diffeomorphisms is closed in the group of all diffeomorphisms in the C^0-topology. By Gromov's alternative, it suffices to exhibit a diffeomorphism that can not be approximated uniformly by contact diffeomorphisms. Our construction uses Eliashberg's contact shape.

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