49 citations · 240 across the 26 of their papers we have counts for
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Existence of complete Lyapunov functions with prescribed orbital derivative
Peter Giesl, Sigurdur Hafstein, Stefan Suhr
Complete Lyapunov functions for a dynamical system, given by an autonomous ordinary differential equation, are scalar-valued functions that are strictly decreasing along orbits out…
Causal simplicity and (maximal) null pseudoconvexity
Jakob Hedicke, Ettore Minguzzi, Benedict Schinnerl +2
We consider pseudoconvexity properties in Lorentzian and Riemannian manifolds and their relationship in static spacetimes. We provide an example of a causally continuous and maxima…
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…