Manish Kumar Gupta, Anil K. Gupta

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In this paper, we studied a Finsler space whose metric is given by an h-exponential change and obtain the Cartan connection coefficients for the change. We also find the necessary and sufficient condition for an h-exponential change of Finsler metric to be projective.


Finsler space; h-exponential change; Projective change


Finsler space, Exponential change, h-vector.

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P. L.Antonelli, R. S. Ingarden and M.Matsumoto:The Theory of Sprays and Finsler Spaces with Applications in Physics and Biology , volume 58 of Fundamental Theories of Physics. Kluwer Academic Publishers Group, Dordrecht, 1993.

M.K.Gupta and P.N.Pandey: On hyperspaces of a Finsler space with a special metric.Acta Math. Hunger., 120(1-2),(2008), 165-177.

M.K.Gupta and P.N.Pandey: Hyperspaces of conformally and h-conformally related Finsler spaces.Acta Math. Hunger., 123(3),(2009), 257-264.

M.K.Gupta and P.N.Pandey: Finsler space subjected to a Kropina change with an h-vector. Facta Universitatis (NI ˇ S) Ser. Math. Inform., 30(4),(2015), 513-525.

M.Hashiguchi and Y. Ichijyo: Randers space with rectilinear geodesics.Rep. Fac. Sci. Kagoshima Univ., (Math., Phys. and Chem.), 13,(1980), 33-40.

H. Izumi: Conformal transformation of Finsler spaces II. An h-conformally flat Finsler space.Tensor N.S. 34,(1980), 337-359.

M.Kitayama and T.Tani:Hypersurfaces of projective -changes.Memoirs of the Scientific Sections of the Romanian Academy Tome XXXIV, , 2011, 55-63.

M.Matsumoto: On C-reducible Finsler spaces. Tensor N.S., (24), 1972, 29-37.

M.Matsumoto: On Finsler space with Rander’s metric and special forms of important tensors. J.Math. Kyoto Univ., 14(3),(1974), 477-498.

M.Matsumoto: Foundation of Finsler geometry and special Finsler spaces. Kaiseigha press, Saikawa, Otsu, Japan, 1986.

N. L.Youssef, S.H. Abed and A. Soleiman: Intrinsic theory of projective change in finsler geometry.Rend. Circ. Mat. Palermo, 60, (2011), 263281.

I.Y.Lee and H. S.Park: Projective changes between a Finsler space with (, )-metric and the associated Riemannian metric. Canad. J. Math., 60, 2008, 443-456.

B.N.Prasad: On the torsion tensors Rhjk and Phjk of Finsler spaces with a metric ds = (gij(dx)dxidxj) 1 2 + bi(x, y)dxi. Indian J. pure appl. math, 21(1), 1990, 27-39.

H.Rund: The differential geometry of Finsler spaces. Springer-Verlog, 1959.

H. S. Shukla, B.N.Prasad and O.P.Pandey: Exponential Change of Finsler metric. Int. J. Contemp. Math. Sciences, 7, (2012), 2253-2263.0), 337-359.


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