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108 citations

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math.DG2021★ 4 cited

On the geometry of lift metrics and lift connections on the tangent bundle

Esmaeil Peyghan, Davood Seifipour, Adara M. Blaga

We study lift metrics and lift connections on the tangent bundle of a Riemannian manifold . We also investigate the statistical and Codazzi couples of and their co…

math.DG2017

Some curvature properties of Cartan spaces with mth root metrics

Akbar Tayebi, Ali Nankali, Esmaeil Peyghan

In this paper, we prove that every m-th root metric with isotropic mean Berwald curvature reduces to a weakly Berwald metric. Then we show that an m-th root metric with isotropic m…

math.DG2014★ 6 cited

Weyl's Theory in the Generalized Lie Algebroids Framework

C. M. Arcus, E. Peyghan, E. Sharahi

The geometry of the Lie algebroid generalized tangent bundle of a generalized Lie algebroid is developed. Formulas of Ricci type and identities of Cartan and Bianchi type are prese…

math.DG2014

Weakly symmetry of a class of g-natural metrics on tangent bundles

Esmaeil Peyghan

Considering the class G of g-natural metrics on the tangent bundle of a Riemannian manifold (M, g), it is shown that the flatnees for g is a necessary and sufficient condition of w…

math.DG2013

On Twisted Products Finsler Manifolds

E. Peyghan, A. Tayebi, L. Nourmohammadi Far

On the product of two Finsler manifolds M1 M2, we consider the twisted metric F which is construct by using Finsler metrics F1 and F2 on the manifolds M1 and M2, respectively. We i…

math.DG2011★ 1 cited

Doubly Warped Product Finsler Manifolds with Some Non-Riemannian Curvature Properties

E. Peyghan, A. Tayebi, B. Najafi

In this paper, we consider doubly warped product (DWP) Finsler manifolds with some non-Riemannian curvature properties. First, we study Berwald and isotropic mean Berwald DWP-Finsl…