University of Debrecen, College of Nyíregyháza
Abstract: We begin a systematic study of these spaces following Eberlein's comprehensive study in the Riemannian case. In particular, for some special groups (including Heisenberg groups) we give an explicit form for the Chern-Rund connection, study the curvature and the flag curvature, and derive the equations of relative geodesics.
Keywords: 2-step nilpotent Lie algebra, left-invariant Finsler metric, curvature of Finsler spaces
Classification (MSC2000): 53B40
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