PreprintarXiv licencearXiv
Classification of analytic conformal product structures
Abstract
We classify real-analytic conformal product structures on compact simply connected manifolds in all dimensions n≥ 2. We prove that in dimension $2$ and $3$ no such structure exists, while in every dimension n≥ 4 the two parallel distributions arise from a global product splitting.
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BibTeX
@misc{jiang2026classification,
title = {{Classification of analytic conformal product structures}},
author = {Xianfeng Jiang},
howpublished = {arXiv},
year = {2026},
month = oct,
doi = {10.48550/arxiv.2610.29444},
eprint = {2610.29444},
archivePrefix = {arXiv},
url = {https://arxiv.org/abs/2610.29444},
}
RIS
TY - UNPB
TI - Classification of analytic conformal product structures
AU - Xianfeng Jiang
PY - 2026
DA - 2026/10/21
PB - arXiv
DO - 10.48550/arxiv.2610.29444
UR - https://arxiv.org/abs/2610.29444
AB - We classify real-analytic conformal product structures on compact simply connected manifolds in all dimensions n≥ 2. We prove that in dimension $2$ and $3$ no such structure exists, while in every dimension n≥ 4 the two parallel distributions arise from a global product splitting.
ER -