49 citations · 240 across the 26 of their papers we have counts for
23 papers · 1 filter
Lorentzian metric spaces and their Gromov-Hausdorff convergence
E. Minguzzi, S. Suhr
We present an abstract approach to Lorentzian Gromov-Hausdorff distance and convergence, and an alternative approach to Lorentzian length spaces that does not use auxiliary ``posit…
A Riemannian plane with only two injective Geodesics
Victor Bangert, Stefan Suhr
We present an example of a complete Riemannian plane with precisely two injective geodesics - up to reparameterization. The example arises as a perturbation of a surface of revolut…
Connecting and closed geodesics of a Kropina metric
Erasmo Caponio, Fabio Giannoni, Antonio Masiello +1
We prove some results about existence of connecting and closed geodesics in a manifold endowed with a Kropina metric. These have applications to both null geodesics of spacetimes e…
Closed geodesics on reversible Finsler 2-spheres
Guido De Philippis, Michele Marini, Marco Mazzucchelli +1
We extend two celebrated theorems on closed geodesics of Riemannian 2-spheres to the larger class of reversible Finsler 2-spheres: Lusternik-Schnirelmann's theorem asserting the ex…
Conformally embedded spacetimes and the space of null geodesics
Jakob Hedicke, Stefan Suhr
It is shown that the space of null geodesics of a causally simple Lorentzian manifold is Hausdorff if it admits an open conformal embedding into a globally hyperbolic spacetime. Th…
A min-max characterization of Zoll Riemannian metrics
Marco Mazzucchelli, Stefan Suhr
We characterize the Zoll Riemannian metrics on a given simply connected spin closed manifold as those Riemannian metrics for which two suitable min-max values in a finite dimension…