Compactness of the automorphism group of a topological parallelism on real projective 3-space

Abstract

We conjecture that the automorphism group of a topological parallelism on real projective 3-space is compact. We prove that at least the identity component of this group is, indeed, compact.

Cited by in corpus (6)

• A characterization of Clifford parallelism by automorphisms
• Pencilled regular parallelisms
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• Rotational spreads and rotational parallelisms and oriented parallelisms of PG(3,R)
• Characterising Clifford parallelisms among Clifford-like parallelisms
• Automorphisms of a Clifford-like parallelism