Null Distance and Temporal Functions
- Andrea Nigri
- arXiv:2507.07158 [math.DG]
Spacetime reconstruction by order and number
- Mathias Braun
- arXiv:2507.01907 [gr-qc]
Gromov’s reconstruction theorem and measured Gromov-Hausdorff convergence in Lorentzian geometry
- Mathias Braun, Clemens Saemann
- arXiv:2506.10852 [math.DG]
Generalized cones admitting a curvature-dimension condition
- Matteo Calisti, Christian Ketterer, Clemens Saemann
- arXiv:2506.02723 [math.DG]
A synthetic Lorentzian Cartan-Hadamard theorem
Particle approximation of nonlocal interaction energies
- Davide Carazzato, Aldo Pratelli, Ihsan Topaloglu
- arXiv:2506.02905 [math.AP]
Gradient flows of $(K,N)$-convex functions with negative $N$
- Lorenzo Dello Schiavo, Mattia Magnabosco, Chiara Rigoni
- arXiv:2412.04574 [math.FA]
Failure of the measure contraction property via quotients in higher-step sub-Riemannian structures
- Samuël Borza, Luca Rizzi
- arXiv:2505.09681 [math.DG]
Geodesic causality in Kerr spacetimes with \(\vert a\vert\ge M\)
- Giulio Sanzeni, Karim Mosani
- arXiv:2504.17763 [gr-qc]
- Journ. of Geom. and Phys. 216 (2025) 105589
- https://doi.org/10.1016/j.geomphys.2025.105589
Optimal transport on the sub-Lorentzian Heisenberg group
- Samuël Borza, Wilhelm Klingenberg, Patrick Wood
- arXiv:2504.03062 [math.MG]
Distributional sectional curvature bounds for Riemannian metrics of low regularity
Quantum Geometry of the Light Cone: Fock representation and Spectrum of Radiated Power
- Wolfgang Wieland
- arXiv:2504.10802 [gr-qc]
On the Hauptvermutung of Causal Set Theory
- Olaf Müller
- arXiv:2503.01719 [math.DG]
Hawking’s singularity theorem for Lipschitz Lorentzian metrics
- Matteo Calisti, Melanie Graf, Eduardo Hafemann, Michael Kunzinger, Roland Steinbauer
- arXiv:2501.18450 [math.DG]
- Comm. Math. Phys., to appear.
Splitting theorems for weighted Finsler spacetimes via the \(p\)-d’Alembertian: beyond the Berwald case
- Erasmo Caponio, Argam Ohanyan, Shin-ichi Ohta
- arXiv:2412.20783 [math.DG]
An elliptic proof of the splitting theorems from Lorentzian geometry
- Mathias Braun, Nicola Gigli, Robert J. McCann, Argam Ohanyan, Clemens Sämann
- arXiv:2410.12632 [math.DG]
A nonlinear d’Alembert comparison theorem and causal differential calculus on metric measure spacetimes
- Tobias Beran, Mathias Braun, Matteo Calisti, Nicola Gigli, Robert J. McCann, Argam Ohanyan, Felix Rott, Clemens Sämann
- arXiv:2408.15968 [math.DG]
Marginally outer trapped tubes in de Sitter spacetime
- Marc Mars, Walter Simon, Roland Steinbauer, Carl Rossdeutscher
- arXiv:2407.10602 [gr-qc]
- Lett. Math. Phys. 114, 141 (2024)
- https://doi.org/10.1007/s11005-024-01884-y
Ricci curvature bounds and rigidity for non-smooth Riemannian and semi-Riemannian metrics
- Michael Kunzinger, Argam Ohanyan, Alessio Vardabasso
- arXiv:2406.06762 [math.DG]
- manusc. mathem. 176, 53 (2025)
- https://doi.org/10.1007/s00229-025-01655-6
