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- W2919697772 abstract "We construct a continuous 1-parameter family of smooth complete Ricci-flat metrics of cohomogeneity one on vector bundles over $mathbb{CP}^2$, $mathbb{HP}^2$ and $mathbb{OP}^2$ with respective principal orbits $G/K$ the Wallach spaces $SU(3)/T^2$, $Sp(3)/(Sp(1)Sp(1)Sp(1))$ and $F_4/mathrm{spin}(8)$. Almost all the Ricci-flat metrics constructed have generic holonomy. The only exception is the complete $G_2$ metric discovered in [BS89][GPP90]. It lies in the interior of the 1-parameter family on $bigwedge_-^2mathbb{CP}^2$. All the Ricci-flat metrics constructed have asymptotically conical limits given by the metric cone over a suitable multiple of the normal Einstein metric on $G/K$." @default.
- W2919697772 created "2019-03-11" @default.
- W2919697772 creator A5032440650 @default.
- W2919697772 date "2019-03-04" @default.
- W2919697772 modified "2023-09-24" @default.
- W2919697772 title "Invariant Ricci-flat Metrics of Cohomogeneity One with Wallach Spaces as Principal Orbits" @default.
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- W2919697772 doi "https://doi.org/10.48550/arxiv.1903.01643" @default.
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