Behzad Najafi
Current Organizations / Institutes
The organizations/institutes from the scholar's latest article
Research Subjects
Behzad Najafi has a total of 6 co-authors. Here are the top co-authors by number of shared publications:
- Akbar Tayebi
Department of Mathematics, Faculty of Science, University of Qom, Qom, Iran
7 shared publications - Esmaeil Peyghan
Arak University
4 shared publications A. Tayebi
2 shared publications- A. Tayebi
The University of Qom
1 shared publication B. Bidabad
Department of Mathematics and Computer Science, Amir Kabir University, Tehran, I. R. of Iran
1 shared publication- Zhongmin Shen
Department of Mathematical Sciences, Indiana University-Purdue University Indianapolis, Indianapolis, USA
1 shared publication
Latest Publications
- Open Access
On m-th root Finsler metrics
In this paper, we characterize locally dually flat and Antonelli $m$-th root Finsler metrics. Then, we show that every $m$-th root Finsler metric of isotropic mean Berwald curvature reduces to a weakly Berwald metric.
Open AccessOn m-th root Finsler metrics
In this paper, we characterize locally dually flat and Antonelli $m$-th root Finsler metrics. Then, we show that every $m$-th root Finsler metric of isotropic mean Berwald curvature reduces to a weakly Berwald metric.
- 1 July 2013
- Published by Walter de Gruyter GmbH in Annals of the Alexandru Ioan Cuza University - Mathematics
- Vol. 59 (2) , 391-397
On Semi-P-Reducible Finsler Metrics
The class of semi-P-reducible manifolds contains the class of Randers manifolds and Landsberg manifolds as special cases. In this paper, we prove that every semi-P-reducible manifold with P-reducible metric reduces to a Landsberg manifold. Then we show that there is not exists P2-like Randers metric.
- 1 July 2013
- Published by Walter de Gruyter GmbH in Annals of the Alexandru Ioan Cuza University - Mathematics
- Vol. 59 (2) , 391-397
On Semi-P-Reducible Finsler Metrics
The class of semi-P-reducible manifolds contains the class of Randers manifolds and Landsberg manifolds as special cases. In this paper, we prove that every semi-P-reducible manifold with P-reducible metric reduces to a Landsberg manifold. Then we show that there is not exists P2-like Randers metric.
- 24 October 2012
- Published by Springer Nature in Indian Journal of Pure and Applied Mathematics
- Vol. 43 (5) , 559-567
A characterization of Finsler metrics of constant flag curvature
- 24 October 2012
- Published by Springer Nature in Indian Journal of Pure and Applied Mathematics
- Vol. 43 (5) , 559-567
A characterization of Finsler metrics of constant flag curvature
- Open Access
- 1 January 2012
- Published by Institute of Mathematics, Polish Academy of Sciences in Annales Polonici Mathematici
- Vol. 105 (3) , 293-311
Doubly warped product Finsler manifolds with some non-Riemannian curvature properties
We consider doubly warped product (DWP) Finsler manifolds with some non-Riemannian curvature properties. First, we study Berwald and isotropic mean Berwald DWP-Finsler manifolds. Then we prove that every proper Douglas DWP-Finsler manifold is Riemannian.
- 1 January 2012
- Published by Institute of Mathematics, Polish Academy of Sciences in Annales Polonici Mathematici
- Vol. 105 (3) , 293-311
Open AccessDoubly warped product Finsler manifolds with some non-Riemannian curvature properties
We consider doubly warped product (DWP) Finsler manifolds with some non-Riemannian curvature properties. First, we study Berwald and isotropic mean Berwald DWP-Finsler manifolds. Then we prove that every proper Douglas DWP-Finsler manifold is Riemannian.
- Open Access
- 1 January 2012
- Published by Institute of Mathematics, Polish Academy of Sciences in Annales Polonici Mathematici
- Vol. 103 (2) , 109-121
On isotropic Berwald metrics
We prove that every isotropic Berwald metric of scalar flag curvature is a Randers metric. We study the relation between an isotropic Berwald metric and a Randers metric which are pointwise projectively related. We show that on constant isotropic Berwald
- 1 January 2012
- Published by Institute of Mathematics, Polish Academy of Sciences in Annales Polonici Mathematici
- Vol. 103 (2) , 109-121
Open AccessOn isotropic Berwald metrics
We prove that every isotropic Berwald metric of scalar flag curvature is a Randers metric. We study the relation between an isotropic Berwald metric and a Randers metric which are pointwise projectively related. We show that on constant isotropic Berwald
- Open Access
Doubly Warped Product Finsler Manifolds with Some Non-Riemannian Curvature Properties
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-Finsler manifolds. Then we prove that every proper Douglas DWP-Finsler manifold is Riemannian. We show that a proper DWP-manifold is Landsbergian if and only it is Berwaldian. In continue, we prove that every relatively isotropic Landsberg DWP-manifold is a Landsberg manifold. We show that a relatively isotropic mean Landsberg warped product manifold is a weakly Landsberg manifold. Finally, we show that there is no any locally dually flat proper DWP-Finsler manifold.
Open AccessDoubly Warped Product Finsler Manifolds with Some Non-Riemannian Curvature Properties
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-Finsler manifolds. Then we prove that every proper Douglas DWP-Finsler manifold is Riemannian. We show that a proper DWP-manifold is Landsbergian if and only it is Berwaldian. In continue, we prove that every relatively isotropic Landsberg DWP-manifold is a Landsberg manifold. We show that a relatively isotropic mean Landsberg warped product manifold is a weakly Landsberg manifold. Finally, we show that there is no any locally dually flat proper DWP-Finsler manifold.
- Open Access
Ricci Flow Equation on (α, β)-Metrics
In this paper, we study the class of Finsler metrics, namely (\alpha, \beta)- metrics, which satisfies the un-normal or normal Ricci flow equation.
Open AccessRicci Flow Equation on (α, β)-Metrics
In this paper, we study the class of Finsler metrics, namely (\alpha, \beta)- metrics, which satisfies the un-normal or normal Ricci flow equation.
- Open Access
Shen's Processes on Finslerian Connections
In this paper, we discuss the invariant properties of curvatures effected by the Matsumoto's $C$ or $L$-process. We find equivalent conditions on curvatures by comparing the difference between the corresponding curvatures of closely related connections. As an application, Matsumoto's $L$-process on Randers manifold is studied. Shen connection can not be obtained by using Matsumoto's processes from other well-known connections. This leads us to two new processes which we call Shen's $C$ and $L$-processes. We study the invariant properties of curvatures under the Shen's processes.Open AccessShen's Processes on Finslerian Connections
In this paper, we discuss the invariant properties of curvatures effected by the Matsumoto's $C$ or $L$-process. We find equivalent conditions on curvatures by comparing the difference between the corresponding curvatures of closely related connections. As an application, Matsumoto's $L$-process on Randers manifold is studied. Shen connection can not be obtained by using Matsumoto's processes from other well-known connections. This leads us to two new processes which we call Shen's $C$ and $L$-processes. We study the invariant properties of curvatures under the Shen's processes. - Open Access
A family of Einstein Randers metrics
Using Hawking Taub-NUT metric $g_a$ on $\mathbf{R}^4$, where $a$ is a positive real number and finding a 4-parameter family of Killing vector fields of $(\mathbf{R}^4,g_a)$, we construct a 5-parameter family of Einstein Randers metrics with non-constant flag curvature.Open AccessA family of Einstein Randers metrics
Using Hawking Taub-NUT metric $g_a$ on $\mathbf{R}^4$, where $a$ is a positive real number and finding a 4-parameter family of Killing vector fields of $(\mathbf{R}^4,g_a)$, we construct a 5-parameter family of Einstein Randers metrics with non-constant flag curvature.