43 citations · 138 across the 13 of their papers we have counts for
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From dual connections to gravitational field equations -- the curvature and Einstein tensors of the - connection of a quasi-statistical manifold
Rattanasak Hama, Tiberiu Harko, Sorin V. Sabau
We present a detailed review of the mathematical foundations of the theory of the statistical and quasi-statistical manifolds, which recently have found many applications in genera…
Randers metrics on two-spheres of revolution with simple cut locus
Rattanasak Hama, Sorin V. Sabau
In the present paper, we study the Randers metric on two-spheres of revolution in order to obtain new families of Finsler of Randers type metrics with simple cut locus. We determin…
The geometry of a Randers rotational surface with an arbitrary direction wind
Rattanasak Hama, Sorin V. Sabau
In the present paper we study the global behaviour of geodesics on a Randers metric, defined on a topological cylinder, obtained as the solution of the Zermelo's navigation problem…
The cut locus of a Randers rotational 2-sphere of revolution
Rattanasak Hama, Jaipong Kasemsuwan, Sorin V. Sabau
In the present paper we study the structure of the cut locus of a Randers rotational 2-sphere of revolution . We show that in the case when the Gaussian curvature of…
Berwald spaces of bounded curvature are Riemannian
Nathaphon Boonnam, Rattanasak Hama, Sorin V. Sabau
We prove that Berwald spaces whose flag curvature is nowhere vanishing are in fact Riemannian spaces. This means that any Berwald space with flag curvature bounded below by a posit…
The geometry of a Randers rotational surface
Pakkinee Chitsakul, Rattanasak Hama, Sorin V. Sabau
We study the behavior of geodesics on a Randers surface of revolution. The main tool is the extension of Clairaut relation from Riemannian case to the Randers case. Moreover, we sh…