
Clemens Saemann
University of Oxford
Andrew Wiles Building
Radcliffe Observatory Quarter
Woodstock Road
Oxford
OX2 6GG
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
Lorentzian geometry, General Relativitiy, metric (measure) geometry
bounds