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math.DG2010★ 38 cited
On Ricci-Tensor of Randers Metrics
A. Tayebi, E. Peyghan
In this paper, we study Randers metrics and find a condition on Ricci tensor of these metrics to be Berwaldian. This generalize Shen's Theorem which says: every R-°at complete Rand…
math-ph2010★ 1 cited
Looking for Kähler- Einstein Structure on Cartan Spaces with Berwald connection
E. Peyghan, A. Tayebi, A. Ahmadi
A Cartan manifold is a smooth manifold M whose slit cotangent bundle T*M0 is endowed with a regular Hamiltonian K which is positively homogeneous of degree 2 in momenta. The Hamilt…
math-ph2010★ 3 cited
A Kähler Structure on Cartan Spaces
E. Peyghan, A. Tayebi
In this paper, we define a new metric on Cartan manifolds and obtain a Kähler structure on their cotangent bundles. We prove that on a Cartan manifold M of negative constant flag c…