2 citations · 2 across the 3 of their papers we have counts for
3 papers
math.GT2025
Locally classical stable planes
Rainer Löwen
We show that a simply connected stable plane with connected lines is isomorphic to an open subplane of a classical projective plane (i.e., a plane over the real or complex numbers,…
math.GT2023
Semiaffine stable planes
Rainer Löwen, Markus Johannes Stroppel
A locally compact stable plane of positive topological dimension will be called semiaffine if for every line and every point not in there is at most one line passing th…
math.GT2018★ 2 cited
Rotational spreads and rotational parallelisms and oriented parallelisms of PG(3,R)
Rainer Löwen
We introduce topological parallelisms of oriented lines (briefly called oriented parallelisms). Every topological parallelism (of lines) on PG(3,R) gives rise to a parallelism of o…