46 citations · 317 across the 42 of their papers we have counts for
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math.DG2020★ 14 cited
Lorentz meets Lipschitz
Christian Lange, Alexander Lytchak, Clemens Sämann
We show that maximal causal curves for a Lipschitz continuous Lorentzian metric admit a -parametrization and that they solve the geodesic equation in the sense o…
math.DG2020★ 17 cited
Structure of Submetries
Vitali Kapovitch, Alexander Lytchak
We investigate the geometric and topological structure of equidistant decompositions of Riemannian manifolds.
math.DG2020★ 2 cited
Short retractions of CAT(1) spaces
Alexander Lytchak, Anton Petrunin
We construct short retractions of a CAT(1) space to its small convex subsets. This construction provides an alternative geometric description of an analytic tool introduced by Wilf…