C^1 Deformations of almost-Grassmannian structures with strongly essential symmetry

preprint2019arXivOpen access

Abstract

We construct a family of (2,n)(2,n)-almost Grassmannian structures of regularity C1C^1, each admitting a one-parameter group of strongly essential automorphisms, and each not flat on any neighborhood of the higher-order fixed point. This shows that Theorem 1.3 of [9] does not hold assuming only C1C^1 regularity of the structure (see also [2, Prop 3.5]).

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