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Journal Article

C1 deformations of almost-Grassmannian structures with strongly essential symmetry

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Melnick,  Karin
Max Planck Institute for Mathematics, Max Planck Society;

External Resource

https://doi.org/10.1007/s00031-020-09584-2
(Publisher version)

https://doi.org/10.48550/arXiv.1902.01801
(Preprint)

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Citation

Čap, A., & Melnick, K. (2021). C1 deformations of almost-Grassmannian structures with strongly essential symmetry. Transformation Groups, 26(4), 1169-1187. doi:10.1007/s00031-020-09584-2.


Cite as: https://hdl.handle.net/21.11116/0000-0006-BCA3-E
Abstract
We construct a family of $(2,n)$-almost Grassmannian structures of regularity
$C^1$, 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 $C^1$
regularity of the structure (see also [2, Prop 3.5]).