Jonas W. Peteranderl

activity

20232026

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

1 citations · 1 across the 6 of their papers we have counts for

collaborators

8 papers

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…

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…

math.AP2025

An almost-almost-Schur lemma on the 3-sphere

Tobias König, Jonas W. Peteranderl

In the conformal class of the standard metric on the $3$ -sphere, we prove a quantitative refinement of the Andrews-De Lellis-Topping inequality in terms of a two-term distance to t…

math.AP2025

Sharp quantitative integral inequalities for harmonic extensions

Rupert L. Frank, Jonas W. Peteranderl, Larry Read

We prove a quantitative version of a sharp integral inequality by Hang, Wang, and Yan for both the Poisson operator and its adjoint. Our result has the strongest possible norm and…

math.AP2024

The sharp $σ_{2}$ -curvature inequality on the sphere in quantitative form

Rupert L. Frank, Jonas W. Peteranderl

Among all metrics on $S^{d}$ with $d > 4$ that are conformal to the standard metric and have positive scalar curvature, the total $σ_{2}$ -curvature, normalized by the volume, is…

math.AP2023★ 1 cited

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

Rupert L. Frank, Jonas W. Peteranderl

We show that the Caffarelli-Kohn-Nirenberg (CKN) inequality holds with a remainder term that is quartic in the distance to the set of optimizers for the full parameter range of the…

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

Quantitative Lorentzian isoperimetric inequalities in conical Minkowski spacetimes

An almost-almost-Schur lemma on the 3-sphere

Sharp quantitative integral inequalities for harmonic extensions

The sharp σ2​-curvature inequality on the sphere in quantitative form

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

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

The sharp $σ_{2}$ -curvature inequality on the sphere in quantitative form