Browsing 1 - Oberwolfach Preprints (OWP) by MFO Scientific Program "OWLF 2025"

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    • Locally Conformally Flat Manifolds with Positive Scalar Curvature: Kleinian Groups, Moduli Spaces, and Euclidean Rigidity 

      [OWP-2026-05] Deng, Jialong (Mathematisches Forschungsinstitut Oberwolfach, 2026-09)
      We study locally conformally flat (LCF) Riemannian manifolds with nonnegative or positive scalar curvature (PSC), using the conformal boundary of the developing image. For closed oriented LCF $n$-manifolds with PSC and ...

    • Scalar Curvature in Dimension 4 

      [OWP-2025-14] Deng, Jialong (Mathematisches Forschungsinstitut Oberwolfach, 2025-12)
      We prove that every locally conformally flat metric on a closed, oriented hyperbolic $4$-manifold with scalar curvature bounded below by $-12$ satisfies Schoen’s conjecture. We also classify all closed Riemannian $4$-manifolds ...