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ON R-COMPLEX FINSLER SPACES WITH SPECIAL (α, β)-METRIC
(Academic Publications, Ltd., 2016)
In the present paper, the notion of R-complex Finsler space with 2 special (α, β)-metric α + ǫβ + λ β α (where ǫ, λ 6 = 0 are constants ) which is the generalization of Randers metric and Z. Shen’s square metric is defined. ...
Nonholonomic frames for a Finsler space with general (α, β)-Metric
(Academic Publications, Ltd., 2016)
The main purpose of this paper is to first determine the two Finsler deformations 2 of the special (α, β)-metric F = α + ǫβ + k β α , where ǫ and k are constants. Consequently, we obtain the nonholonomic frame for Finsler ...
On a New Class of Weakly Berwald Spaces with (α, β)-metric
(SCIENCEDOMAIN international, 2016)
We have two concepts of Douglas spaces and Landsberg spaces as generalizations of Berwald spaces. S. Bacso [1] gave the definition of a weakly-Berwald space as another generalization of Berwald spaces. In 1972, M. Matsumoto ...
REVERSIBLE GEODESICS OF FINSLER SPACES WITH A SPECIAL (α, β)-METRIC
(Calcutta Mathematical Society, 2017)
A Finsler space is said to have reversible geodesics if for every one of its oriented geodesic paths, the same path traversed in the opposite sense is also a geodesic. In the last decade some work has been done on the ...
On the Riemann and Ricci Curvature of Finsler Spaces with Special (α, β)- Metric
(The Educational Publisher Inc., 2016)
In this paper, we study the curvature properties of the special (α, β)- metric
β 2 (where ǫ, k 6 = 0 are constants). We find the expressions for Riemann
α curvature and Ricci curvature of the special (α, β)-metric, when ...
On the Matsumoto change of a finsler space with MTH-ROOT metric
(University of, 2017)
In the present paper, we find a condition under which a Finsler space with Matsumoto change of mth-root metric is projectively related to a mth-root metric and also we find a condition under which this Matsumoto transformed ...
On the L-duality of a Finsler space with exponential metric αeβ/α
(De Gruyter, 2018)
The (α, β)-metrics are the most studied Finsler metrics in
Finsler geometry with Randers, Kropina and Matsumoto metrics being
the most explored metrics in modern Finsler geometry. The L-dual of
Randers, Kropina and Matsumoto ...
Characteristic Properties of the Indicatrix Under a Kropina Change of Finsler Metric
(Chinese Academy of Sciences: Beijing, China, 2018)
The theory of β−change in Finsler geometry was first introduced by C. Shibata
in [13]. In this paper, we study the behaviour of Indicatrices under a special β−change,
known as Kropina change of Finsler metric.
On Randers Conformal Transformation of m-th Root Metric
(Springer, 2021-12-07)
In this paper, we present the theory of Randers conformal transformation of m-th root metric. We find a condition under which Randers conformal transformed m-th root metric is projectively related to m-th root metric. ...