Pavlov M. Integrable Geodesics, talk at The Workshop on Geometry of PDEs and Integrability, 14-18 October 2013, Teplice nad Becvou, Czech Republic (abstract)
Speaker: Maxim Pavlov
Title: Integrable Geodesics
We consider a problem of description of geodesic in two dimensional case. We reduce this problem to classification of semi-Hamiltonian hydrodynamic type systems. We present new solutions parameterized by arbitrary functions of a single variable.