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arXiv · 1703.10922

Topology of automorphism groups of parabolic geometries

C. Frances·K. Melnick
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Abstract

We prove for the automorphism group of an arbitrary parabolic geometry that the $C^0$ and $C^{\infty}$ topologies coincide, and the group admits the structure of a Lie group in this topology. We further show that this automorphism group is closed in the homeomorphism group of the underlying manifold.

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C. Frances, K. Melnick. 2019-03-18. Topology of automorphism groups of parabolic geometries. https://doi.org/10.2140/gt.2019.23.135

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