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arXiv · 2606.05519

Doubly warped product Einstein metrics on spheres

Qiu Shi Wang
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Abstract

We present a simple computer-assisted procedure to construct $SO(d_1+1)\times SO(d_2+1)$-invariant cohomogeneity one Einstein metrics, and use it to recover known Einstein metrics on $S^{10}$ and $S^{12}$, as well as find new ones on $S^{11}$, $S^{12}$, $S^{13}$ and $S^7\times S^3$.

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Qiu Shi Wang. 2026-06-03. Doubly warped product Einstein metrics on spheres. https://arxiv.org/abs/2606.05519

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