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Conformal product structures on compact manifolds with constant sectional curvature

Xianfeng Jiang · 2026 · math.DG · DOI 10.48550/arxiv.2605.19818 · arXiv 2605.19818

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abstract

We prove that compact non-flat manifolds with constant sectional curvature admit no conformal product structure. Furthermore, we demonstrate that the methods extend naturally to irreducible, compact locally symmetric spaces of non-positive curvature.

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math.DG 1

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2026 1

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UNVERDICTED 1

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Conformal product structures on $S^3$

math.DG · 2026-06-08 · unverdicted · novelty 5.0

Constructs a conformal product structure on S^3 via the Reeb foliation as the first example on a compact simply connected manifold not from a global product.

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  • Conformal product structures on $S^3$ math.DG · 2026-06-08 · unverdicted · none · ref 4 · internal anchor

    Constructs a conformal product structure on S^3 via the Reeb foliation as the first example on a compact simply connected manifold not from a global product.