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Doubly warped product Einstein metrics on spheres
Abstract
We present a simple computer-assisted procedure to construct SO(d1+1)× SO(d2+1)-invariant cohomogeneity one Einstein metrics, and use it to recover known Einstein metrics on S10 and S12, as well as find new ones on S11, S12, S13 and S7× S3.
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BibTeX
@misc{wang2026doubly,
title = {{Doubly warped product Einstein metrics on spheres}},
author = {Qiu Shi Wang},
howpublished = {arXiv},
year = {2026},
month = oct,
doi = {10.48550/arxiv.2606.05519},
eprint = {2606.05519},
archivePrefix = {arXiv},
url = {https://arxiv.org/abs/2606.05519},
}
RIS
TY - UNPB
TI - Doubly warped product Einstein metrics on spheres
AU - Qiu Shi Wang
PY - 2026
DA - 2026/10/09
PB - arXiv
DO - 10.48550/arxiv.2606.05519
UR - https://arxiv.org/abs/2606.05519
AB - We present a simple computer-assisted procedure to construct SO(d_1+1)× 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× S^3.
ER -