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On Sasaki-Einstein manifolds in dimension five

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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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Authors and Affiliations

  1. Department of Mathematics and Statistics, University of New Mexico, Albuquerque, NM, 87131, USA

    Charles P. Boyer & Michael Nakamaye

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  1. Charles P. Boyer
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  2. Michael Nakamaye
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Correspondence to Charles P. Boyer.

Additional information

During the preparation of this work Charles P. Boyer was partially supported by NSF grant DMS-0504367.

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Boyer, C.P., Nakamaye, M. On Sasaki-Einstein manifolds in dimension five. Geom Dedicata 144, 141–156 (2010). https://doi.org/10.1007/s10711-009-9393-y

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