Publications and preprints

Preprints

The sharp σₖ-curvature inequality on locally conformally flat manifolds in quantitative form
Jonas W. Peteranderl · 2026
arXiv:2609.13133

Linear isoperimetric filling inequalities in Hadamard spaces at and above the asymptotic rank
Jonas W. Peteranderl · 2026
arXiv:2608.26059

Hausdorff-type metric geometry of the space of Cauchy hypersurfaces
Christian Lange and Jonas W. Peteranderl · 2026
arXiv:2604.11783, to appear in Classical and Quantum Gravity

Quantitative Lorentzian isoperimetric inequalities in conical Minkowski spacetimes
Christian Lange and Jonas W. Peteranderl · 2025
arXiv:2510.26755

An almost-almost-Schur lemma on the 3-sphere
Tobias König and Jonas W. Peteranderl · 2025
arXiv:2510.25723, to appear in Annales de l'Institut Henri Poincaré C

Sharp quantitative integral inequalities for harmonic extensions
Rupert L. Frank, Jonas W. Peteranderl and Larry Read · 2025
arXiv:2508.09940, to appear in Annali della Scuola Normale Superiore di Pisa - Classe di Scienze

The sharp σ₂-curvature inequality on the sphere in quantitative form
Rupert L. Frank and Jonas W. Peteranderl · 2024
arXiv:2412.12819

Published papers

Degenerate stability of the Caffarelli–Kohn–Nirenberg inequality along the Felli–Schneider curve
Rupert L. Frank and Jonas W. Peteranderl
Calculus of Variations and Partial Differential Equations 63, 44 (2024).
Journal · arXiv:2308.07917