ON FINSLER SPACES WITH A QUATRIC METRIC

Triyugi N. Pandey, Asmita Mishra

DOI Number
-
First page
839
Last page
850

Abstract


The so- called cubic L3 = aijk(x)yiyjyk metric on a differential manifold with the local coordinates xi has been dened by M.Matsumoto in the year 1979[6]. In the paper, he has worked outthe necessary and sucient condition (n.a.s.c) for  two and threedimensional Finsler space in terms of main scalars in order that the Finsler space is a with cubic metric. On the lines of cubic metric many authors have studied quartic metric as an example of Finsler metric. In the present paper we have work out the n.a.s.c in terms of main scalars of  two and three dimensional Finsler space  with quartic metric.


Keywords

Quartic Metric, Main Scalars, Two and three dimensional Finsler spaces

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References


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