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Locally classical stable planes

delete2025-10-27
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Rainer Löwen *
DOI:10.1515/advgeom-2025-0031delete
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摘要

摘要

En 中文
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, the quaternions or the octonions) if it has that property locally. We also give several examples indicating that our hypotheses cannot be relaxed much further.
Keyword:
Stable plane
local homomorphism

期刊

A
Advances in Geometry
IF:
0.5
论文数:
26
被引数:
0

机构

B
Braunschweig University of Technology
学者数:
7.7K
论文数: 6.6K
被引数: 19
引用论文

引用论文

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Compact Projective Planes
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IF0
err1995-12-31
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PREAI
errSalzmann,Helmut; Betten,Dieter; Grundhöfer,Theo; Hähl,Hermann; Löwen,Rainer; Stroppel,Markus
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