Masumeh NEJADAHMAD, Hamid Reza Salimi MOGHADDAM

On the Geometry of Some (α,β )-Metrics on the Nilpotent Groups H(p,r)

In this paper we study the Riemann-Finsler geometry of the Lie groups H(p; r) which are ageneralization of the Heisenberg Lie groups. For a certain Riemannian metric h; i, the Levi-Civitaconnection and the sectional curvature are given. We classify all left invariant Randers metrics ofDouglas type induced by h; i, compute their flag curvatures and show that all of them are non-Berwaldian.

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International Electronic Journal of Geometry-Cover

Yayın Aralığı: Yılda 2 Sayı
Başlangıç: 2008
Yayıncı: Prof.Dr. H.Hilmi Hacısalioğlu

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