28 citations · 172 across the 17 of their papers we have counts for
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math-ph2021★ 20 cited
A Lorentzian analog for Hausdorff dimension and measure
Robert J. McCann, Clemens Sämann
We define a one-parameter family of canonical volume measures on Lorentzian (pre-)length spaces. In the Lorentzian setting, this allows us to define a geometric dimension - akin to…
math-ph2017★ 17 cited
On geodesics in low regularity
Clemens Sämann, Roland Steinbauer
We consider geodesics in both Riemannian and Lorentzian manifolds with metrics of low regularity. We discuss existence of extremal curves for continuous metrics and present several…
math-ph2017★ 6 cited
Geodesics in nonexpanding impulsive gravitational waves with , II
Clemens Sämann, Roland Steinbauer
We investigate all geodesics in the entire class of nonexpanding impulsive gravitational waves propagating in an (anti-)de Sitter universe using the distributional metric. We exten…