3 citations · 8 across the 6 of their papers we have counts for
6 papers
Minimal geodesics and integrable behavior in geodesic flows
Jan Philipp Schröder
In this survey article we gather classical as well as recent results on minimal geodesics of Riemannian or Finsler metrics, giving special attention to the two-dimensional case. Mo…
Minimal rays on surfaces of genus greater than one -- Part II
Jan Philipp Schröder
We consider any Finsler metric on a closed, orientable surface of genus greater than one. H. M. Morse proved that we can associate an asymptotic direction to minimal rays in the un…
Ergodic components and topological entropy in geodesic flows of surfaces
Jan Philipp Schröder
We consider the geodesic flow of reversible Finsler metrics on the 2-sphere and the 2-torus, whose geodesic flow has vanishing topological entropy. Following a construction of A. K…
Uniqueness of shortest closed geodesics for generic Finsler metrics
Jan Philipp Schröder
In every conformal class of Finsler (or Riemannian) metrics on a closed manifold there exists a residual subset of Finsler metrics, such that, with respect to the residual Finsler…
Minimal rays on surfaces of genus greater than one
Jan Philipp Schröder
For Finsler metrics (no reversibility assumed) on closed orientable surfaces of genus greater than one, we study the dynamics of minimal rays and minimal geodesics in the universal…
Tonelli Lagrangian systems on the 2-torus and topological entropy
Jan Philipp Schröder
We study Tonelli Lagrangian systems on the 2-torus in energy levels above Mañé's strict critical value and analyize the structure of global minimizers in the spirit of Morse, Hedlu…