Jonas W. Peteranderl

activity

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.MG2026

Linear isoperimetric filling inequalities in Hadamard spaces at and above the asymptotic rank

Jonas W. Peteranderl

Reformulated in terms of the asymptotic rank, a conjecture by Gromov predicts a linear isoperimetric filling inequality in all dimensions greater than or equal to the asymptotic ra…

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…

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

Linear isoperimetric filling inequalities in Hadamard spaces at and above the asymptotic rank

Hausdorff-type metric geometry of the space of Cauchy hypersurfaces

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