Seminarium "The Trans-Carpathian Seminar on Geometry & Physics"
sala 106 IM PAN, ul. Śniadeckich 8, Ip
2015-11-18 (14:15) 
Michał Jóżwikowski (IMPAN)
A contact approach to the sub-Riemannian geodesic problem
I will discuss the SR geodesic problem from the point of view developed by Witold Respondek and myself in arxiv:1509.01628. The most important points of this approach are: (i) the Hamiltonian formalism is obsolete (ii) geometric reasonings are elementary (iii) the emphasis is put on the flows rather than on Lie brackets. If time allows I will address issues concerning local optimality of solutions.