Clemens Saemann

Hyperbolic angles in Lorentzian length spaces and timelike curvature bounds with Tobias Beran, 70 pages, MSC classes: 28A75, 51K10, 53C23, 53C50, 53B30, 53C80, 83C99; submitted

A Lorentzian analog for Hausdorff dimension and measure with Robert McCann; Pure and Applied Analysis Vol. 4 (2022), No. 2, 367–400; MSC classes: 28A75, 51K10, 53C23, 53C50, 53B30, 53C80, 83C99; preprint available here

Lorentz meets Lipschitz with Christian Lange and Alexander Lytchak; Advances in Theoretical and Mathematical Physics Volume 25, Number 8, 2141–2170, 2021; MSC classes: 53B30, 34A36, 83C99; preprint available here

Generalized cones as Lorentzian length spaces: Causality, curvature, and singularity theorems with Stephanie Alexander, Melanie Graf, and Michael Kunzinger, 55 pages, MSC classes: 51K10, 53C23, 53C50, 53B30, 53C80; Comm. Anal. Geom., to appear

The future is not always open with James D.E. Grant, Michael Kunzinger and Roland Steinbauer; Lett. Math. Phys. 110, 83–103 (2020), MSC classes: 53C50, 83C75; preprint available here

Cut-and-paste for impulsive gravitational waves with Λ: The geometric picture with Jiří Podolský, Robert Švarc and Roland Steinbauer; Phys. Rev. D 100, 024040 (2019), 12 pages, MSC classes: 83C15, 83C35, 83C10; preprint available here

Inextendibility of spacetimes and Lorentzian length spaces with James D.E. Grant and Michael Kunzinger, Annals of Global Analysis and Geometry 55, no. 1, 133–147 (2019), 15 pages; MSC classes: 53C23, 53C50, 53B30, 53C80, 83C75; preprint available here

Lorentzian length spaces with Michael Kunzinger, Annals of Global Analysis and Geometry 54, no. 3, 399-447 (2018), 49 pages; MSC classes: 53C23, 53C50, 53B30, 53C80; preprint available here

On geodesics in low regularity with Roland Steinbauer, Journal of Physics: Conference Series 968 012010 (2018), 14 pages; MSC classes: 53B30, 53C22, 34A36, 83C99; preprint available here

Geodesics in nonexpanding impulsive gravitational waves with Λ, II with Roland Steinbauer, Journal of Mathematical Physics 58, 112503 (2017), 18 pages; featured as “Editor’s pick” (JMP, December 2017); MSC classes: 83C15, 83C35, 46F30, 34A36; preprint available here

Penrose junction conditions extended: impulsive waves with gyratons with Jiří Podolský, Robert Švarc and Roland Steinbauer, Phys. Rev. D 96, 064043 (2017), 11 pages; MSC classes: 83C15, 83C35, 83C10; preprint available here

Completeness of general pp-wave spacetimes and their impulsive limit with Roland Steinbauer and Robert Švarc, Class. Quantum Grav. 33 (2016) 215006, 27 pages; MSC classes: 83C15, 83C35, 83C10, 34A36; preprint available here

The global uniqueness and $C^1$-regularity of geodesics in expanding impulsive gravitational waves with Jiří Podolský, Roland Steinbauer and Robert Švarc, Class. Quantum Grav. 33 (2016) 195010, 23 pages; MSC classes: 83C15, 83C35, 83C10, 34A36; preprint available here

Geodesics in nonexpanding impulsive gravitational waves with Λ, Part I with Roland Steinbauer, Alexander Lecke and Jiří Podolský, Class. Quantum Grav. 33 (2016) 115002, 33 pages; MSC classes: 83C15, 83C35, 46F10, 34A36; preprint available here

Global hyperbolicity for spacetimes with continuous metrics, Annales Henri Poincaré, 17(6), 1429-1455 (2016), 27 pages; MSC classes: 53B30, 83C99; preprint available here