Volume : 2, Issue : 6, JUN 2016
The Generalized Randers change with mth root Metrics of a Finsler space including some of its intrinsic properties
Pooja S. Saxena
Abstract
The purpose of present paper is devoted to studying a condition under which a Finsler space with Randers change of mth root is projectively related to a mth root metric. Further we have studied the conditions under which generalized Randers metric reduces to Rander metric and types of Finsler spaces arising from this metric.
Keywords
Finsler space, Randers space, mth root metric
Article : Download PDF
Cite This Article
Article No : 32
Number of Downloads : 1032
References
[1] B.N.Prasad, J.N.Singh, Cubic transformation of Finsler spaces and n-fundamental forms of their hypersurfaces, Indian J. Pure Appl.Math 20,3 (1989) 242-249.
[2] B.N.Prasad, T.N..Pandey, D. Thakur, H-Randers change of Finsler Metric, Investigations in Mathematical Sciences, 1, (2011) , 71-84
[3] C. Shibata, On invariant tensors of - changes of Finsler spaces, J.Math.Kyoto Univ., 24 (1984) 163-188.
[4] D.G. Pavlov, Space-time structure, algebra and geometry in collected papers (TETRU 2006)
[5] G.S.Asanov, Finslerian Extension of General Relativity (Reidel, Dordrecht, 1984).
[6] G.Randers, On an asymmetric metricin the four –space of general relativity, Phys. rev. 59 (1941) 195-199.
[7] H.Shimada, On Finsler spaces with the metric Tensor (NS) 33 (1979)
365-372.
[8] H.S. Shukla, V.K.Chaubey, Arunima Mishra, On Finsler spaces with h-Randers conformal change, Tensor (N.S) 74 (2013) 135-144.
[9] M.K.Gupta, P.N.Pandey, On hypersurface of a Finslr space with Randers conformal metric, Tensor, N.S., 70 (2008) 229-240.
[10] M.Matsumoto, Foundation of Finsler geometry and special Finsler spaces, kaiseisha Press, otsu, Japan 1986.
[11] M.Matsumoto, On Some transformation of locally Minkowskian space, Tensor, N.S. 22 (1971) 103-111.
[12] S.H.Abed, Conformal - changes in Finsler spaces, Proc. Math Phys. Soc. Egypt, 86 (2008) 79-89 ArXiv No. :math. DG/060240.
[13] S.V.Lebedev, The generalized Finsler metric tensors, space-time,in Structure, Algebra and Geometry (Lilia-Print, Moscow, 2007), pp. 174-181
[14] S.Zhang. D.Zu.B.Li, {projected flat m-th root Finsler metrices}, J.Math. Ningbo Univ.,24(3)(2010)
[15] V.Balan and N.Brinzei, Berwald- Moor-type (h,v)-metric physical models, Hyper complex Numbers Geom. Phys. 2(4) (2005) 114-122.
[16] V.Balan and N.Brinzei , Einstein equations for (h,v)-Berwald –Moor relativistic models, Balkan J.Geom. Appl. 11(2) (2006) 20-26.
[17] Y.Yu and Y.You, On Einstein m-th root metrcs, Differ. Geom. Appl. 28 (2010) 290-294.
