A 3-Manifold with no Real Projective Structure
classification
🧮 math.GT
math.DG
keywords
projectiverealstructureconnectedmanifoldadmitcopiesexample
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We show that the connected sum of two copies of real projective 3-space does not admit a real projective structure. This is the first known example of a connected 3-manifold without a real projective structure.
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