@misc{P._Habibi_Homogeneous, author={P. Habibi and D. Latifi and M. Toomanian}, address={Երևան}, howpublished={online}, publisher={Հայաստանի ԳԱԱ}, abstract={In this paper we study the set of homogeneous geodesics of a left-invariant Finsler metric on Lie groups. We first give a simple criterion that characterizes geodesic vectors. We extend J. Szenthe’s result on homogeneous geodesics to left-invariant Finsler metrics. This result gives a relation between geodesic vectors and restricted Minkowski norm in Finsler setting. We show that if a compact connected and semisimple Lie group has rank greater than 1, then for every left-invariant Finsler metric there are infinitely many homogeneous geodesics through the identity element.}, title={Homogeneous geodesics and the critical points of the restricted Finsler function}, type={Հոդված}, keywords={Mathematics, Science}, }