Jonas W. Peteranderl

activity

20242026

collaborators

5 papers

math.DG2026

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.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.AP2026

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

Tobias KÃ¶nig, 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 $I ¨ _{2}$ -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 $I ¨ _{2}$ -curvature, normalized by the volume, is…