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arxiv: 1211.0635 · v1 · pith:J42Z27KCnew · submitted 2012-11-03 · 🧮 math.DG

About pseudo-Riemannian Lichnerowicz conjecture

classification 🧮 math.DG
keywords examplespseudo-riemanniancompactconformalconformallyconjectureconstructcover
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We construct the first known examples of compact pseudo-Riemannian manifolds having an essential group of conformal transformations, and which are not conformally flat. Our examples cover all types $(p,q)$, with $2 \leq p \leq q$.

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