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arXiv · 0903.0152

On Sasaki-Einstein manifolds in dimension five

Charles P. Boyer·Michael Nakamaye
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Abstract

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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Charles P. Boyer, Michael Nakamaye. 2009-03-01. On Sasaki-Einstein manifolds in dimension five. https://doi.org/10.1007/s10711-009-9393-y

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