Cover Image

Lorentzian Gromov-Hausdorff convergence and pre-compactness

Fuente: arXiv

Saved in:

Bibliographic Details
Main Authors:	Mondino, Andrea, Sämann, Clemens
Format:	Preprint
Published:	2025
Subjects:	Differential Geometry General Relativity and Quantum Cosmology Mathematical Physics Metric Geometry 28A75, 51K10, 53C23, 53C50, 53B30, 53C80, 83C99
Online Access:	Acceder al recurso
Tags:	Add Tag No Tags, Be the first to tag this record!

Similar Items

Gromov's reconstruction theorem and measured Gromov-Hausdorff convergence in Lorentzian geometry
by: Braun, Mathias, et al.
Published: (2025)

Conformal transformations of metric spaces and Lorentzian pre-length spaces
by: Manzano, Miguel, et al.
Published: (2025)

Hyperbolic angles in Lorentzian length spaces and timelike curvature bounds
by: Beran, Tobias, et al.
Published: (2022)

Stability of Synthetic Timelike Ricci Bounds under $C^0$-Limits and Applications to Impulsive Gravitational Waves
by: Mondino, Andrea, et al.
Published: (2026)

Generalized cones admitting a curvature-dimension condition
by: Calisti, Matteo, et al.
Published: (2025)

A brief introduction to non-regular spacetime geometry
by: Sämann, Clemens
Published: (2024)

Curvature bounds, regularity and inextendibility of spacetimes
by: Beran, Tobias, et al.
Published: (2026)

Generalized cones as Lorentzian length spaces: Causality, curvature, and singularity theorems
by: Alexander, Stephanie B., et al.
Published: (2019)

Reshetnyak Majorisation and discrete upper curvature bounds for Lorentzian length spaces
by: Beran, Tobias, et al.
Published: (2025)

On curvature bounds in Lorentzian length spaces
by: Beran, Tobias, et al.
Published: (2023)

A synthetic Lorentzian Cartan-Hadamard theorem
by: Erös, Darius, et al.
Published: (2025)

Gromov-Hausdorff metrics and dimensions of Lorentzian length spaces
by: Müller, Olaf
Published: (2022)

Stability and equivariant Gromov--Hausdorff convergence
by: Alattar, Mohammad
Published: (2023)

Null distance and convergence of Lorentzian length spaces
by: Kunzinger, Michael, et al.
Published: (2021)

A Toponogov globalisation result for Lorentzian length spaces
by: Beran, Tobias, et al.
Published: (2023)

Alexandrov's Patchwork and the Bonnet--Myers Theorem for Lorentzian length spaces
by: Beran, Tobias, et al.
Published: (2023)

Timelike ideal boundary of non-positively curved Lorentzian spaces
by: Burgos, Saúl, et al.
Published: (2026)

A Splitting Theorem for non-positively curved Lorentzian spaces
by: Barton, Joe, et al.
Published: (2026)

Time functions on Lorentzian length spaces
by: Burtscher, Annegret, et al.
Published: (2021)

Hausdorff dimension and failure of synthetic curvature bounds in the sub-Lorentzian Heisenberg group
by: Borza, Samuël, et al.
Published: (2025)

Quadratic metric comparisons
by: Lebedeva, Nina, et al.
Published: (2025)

Bonnet-Myers rigidity theorem for globally hyperbolic Lorentzian length spaces
by: Beran, Tobias
Published: (2024)

Lorentz meets Ptolemy
by: Rott, Felix, et al.
Published: (2026)

Characterization of higher rank via affine maps
by: Lenze, David
Published: (2025)

Timelike conjugate points in Lorentzian length spaces
by: Grant, James D. E., et al.
Published: (2025)

Geodesics on Grushin spaces
by: Albert, Michael, et al.
Published: (2025)

Curvature tensor of smoothable Alexandrov spaces
by: Lebedeva, Nina, et al.
Published: (2022)

Stability and Finiteness of Wasserstein Spaces
by: Alattar, Mohammad
Published: (2024)

Rigidity of ideal symmetric sets
by: Stadler, Stephan
Published: (2024)

Completeness conditions for spacetimes with low-regularity metrics
by: Takahashi, Keita
Published: (2025)

An elliptic proof of the splitting theorems from Lorentzian geometry
by: Braun, Mathias, et al.
Published: (2024)

On the geometry of synthetic null hypersurfaces
by: Cavalletti, Fabio, et al.
Published: (2025)

Gromov-Hausdorff convergence of metric pairs and metric tuples
by: Gómez, Andrés Ahumada, et al.
Published: (2023)

Non-collapsed eGH convergence and dimension
by: Núñez-Zimbrón, Jesús, et al.
Published: (2025)

Lipschitz homotopy convergence of Alexandrov spaces II
by: Fujioka, Tadashi, et al.
Published: (2023)

Precompactness of domains with lower Ricci curvature bound under Gromov-Hausdorff topology
by: Xu, Shicheng
Published: (2023)

New perspectives on the d'Alembertian from general relativity. An invitation
by: Braun, Mathias
Published: (2025)

Global Hyperbolicity through the Eyes of the Null Distance
by: Burtscher, Annegret, et al.
Published: (2022)

The distribution of symmetry of Lorentzian naturally reductive nilmanifolds
by: Luporini, Brian, et al.
Published: (2025)

Metric minimizing surfaces revisited
by: Petrunin, Anton, et al.
Published: (2017)