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arxiv: 0903.0152 · v2 · pith:KA757HIEnew · submitted 2009-03-01 · 🧮 math.DG

On Sasaki-Einstein manifolds in dimension five

classification 🧮 math.DG
keywords manifoldssasaki-einsteinclassesexistencecertainconnectedcountabledeformation
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We prove the existence of Sasaki-Einstein metrics on certain simply connected 5-manifolds where until now existence was unknown. All of these manifolds have non-trivial torsion classes. On several of these we show that there are a countable infinity of deformation classes of Sasaki-Einstein structures.

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