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Sasaki–Einstein metrics on a class of 7-manifolds

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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 $S^2\times S^5$.… Click to show full abstract

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 $H^4$.

Keywords: einstein metrics; sasaki einstein; metrics class; geometry; class manifolds

Journal Title: Journal of Geometry and Physics
Year Published: 2019

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