Year: 2026
Type: preprint
Abstract: We classify real-analytic conformal product structures on compact simply connected manifolds in all dimensions $n\ge 2$. We prove that in dimension $2$ and $3$ no such structure exists, while in every dimension $n\ge 4$ the two parallel distributions arise from a global product splitting.
Source: arXiv (Cornell University)
Author: Jiang, Xianfeng
Language: English
Subfield: Geometry and Topology
Field: Mathematics
Domain: Physical Sciences
Open Access status: green
OpenAlex ID: W7223220213