Sasaki-Einstein Metrics on a class of 7-Manifolds

Charles P. Boyer, Christina Tønnesen-Friedman

Published 2018-11-20Version 1

In this note we give an explicit construction of Sasaki-Einstein metrics on a class of simply connected 7-manifolds with the rational cohomology of the 2-fold connected sum of $S^2\times S^5$. The homotopy types are distinguished by torsion in $H^4$.