Jonas W. Peteranderl

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20232026

most citedDegenerate Stability of the Caffarelli-Kohn-Nirenberg Inequality along the Felli-Schneider Curve

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math.DG2026

The sharp $σ_{k}$ -curvature inequality on locally conformally flat manifolds in quantitative form

Jonas W. Peteranderl

Let $2 \leq k < n /2$ and let $(M^{n}, [g])$ be a smooth, closed, connected, and locally conformally flat Riemannian manifold with a $k$ -admissible metric in the conformal class $[g]$ . We…

math.DG2026

Hausdorff-type metric geometry of the space of Cauchy hypersurfaces

Christian Lange, Jonas W. Peteranderl

We equip the space of Cauchy hypersurfaces in a globally hyperbolic spacetime with a natural Hausdorff-type metric. For a timelike Cauchy complete, smooth Lorentzian manifold with…

math.DG2025

Quantitative Lorentzian isoperimetric inequalities in conical Minkowski spacetimes

Christian Lange, Jonas W. Peteranderl

We establish optimal stability estimates in terms of the Fraenkel asymmetry with universal dimensional constants for a Lorentzian isoperimetric inequality due to Bahn and Ehrlich a…

The sharp σk​-curvature inequality on locally conformally flat manifolds in quantitative form

Hausdorff-type metric geometry of the space of Cauchy hypersurfaces

Quantitative Lorentzian isoperimetric inequalities in conical Minkowski spacetimes

The sharp $σ_{k}$ -curvature inequality on locally conformally flat manifolds in quantitative form